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第26章_反比例函数全章学案

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We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal co ntrols, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relat e d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carr ied out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara ct er, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, proce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, ful l play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

26.1.1 反比例函数的意义
一.温故知新 1.在一个变化的过程中,如果有两个变量 x 和 y,当 x 在其取值范围内任意取一个值时, y ,则称 x 为 ,y 叫 x 的 . 2.一次函数的解析式是: ;当 时,称为正比例函数. 3.一条直线经过点(2,3) 、 (4,7) ,求该直线的解析式. 以上这种求函数解析式的方法叫: . 二.学*新知 1.反比例函数: . 反比例函数的表达式还可以表示为: 2.列举几个反比例函数的例子: 3、例题分析 例 1、已知 y 是 x 的反比例函数,当 x=2 时,y=6. (1)写出 y 与 x 之间的函数解析式; (2)求当 x=4 时 y 的值。

. .

三.释疑提高 1.下列等式中哪些变量之间的关系是反比例函数? 2 x 5 3 1 (1) y ? ;(2) y ? ? ; (3)xy=21; (4)y= ;(5)y=- ; (6)y= ? 3 ; (7)y=x- 4 x x?2 2x x 3 m ?1 2.已知函数 y ? m 是关于 x 的反比例函数,求 m 的值. x

3.当 n 取何值时,y=(n2+2n) xn

2

? n ?1

是反比例函数?

4.已知 y 是 x 的反比例函数,当 x=3 时,y=7, (1)写出 y 与 x 的函数关系式; (2)求 x=7 时 y 的值.

5.反比例函数 y ?

3 k 的图象经过点( ? ,5) 、 (a,-3)及(10,b) ,则 k= 2 x

,a =

,b =

.

6.已知函数 y=y1+y2,y1 与 x 成正比例,y2 与 x 成反比例,且当 x=1 是,y=4,x=2 时,y=5, (1)求 y 与 x 的函数关 系式; (2)当 x= -2 时,求函数 y 的值.

26.1.2 反比例函数的图象和性质
一.温故知新 1.反比例函数: 2.过点(2,5)的反比例函数的解析式是: 3.一次函数 y=kx+b 的图象是: ,它经过点: 对于函数 y=kx+b,当 k>0 时,y 随 x 的增大而 4.用描点法作函数图象的步骤是: 二.学*新知
play levels ca dres in enterpri se deve lopme nt in the of ba ckbone back bone role ; to full strengt heni ng members youth w ork, full play y outh employee s in compa ny devel opment i n the of force role; t o improve i nde pendent Commissi on agai nst corruption w ork level, stre ngthe ning on e nterprise busi ness key link of effectiveness m onitore d. , A nd mai ntai n stabilit y. To further stre ngthe n publi city and e ducation, improv e the overall l egal system. We must stre ngthe n safety m anagement, e stablis h and improve t he educati on, supervisi on, a nd eval uation as one of the traffic safety management m echa nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

,反比例函数又可表示为: . .直线 y=kx 经过点: ;当 k<0 时,y 随 x 的增大而 .

. . .

To cons cienti ously sum up the Olympi c se curity control s, pr omoting i ntegrated management to a higher level, hig her standards, a hig her level of dev elopment. Empl oyees, today is l unar calendar on December 24 , the ox Bell is a bout to ring, at thi s time of yea r, we clearly feel the puls e of the XX power ge neration company to flourish, to more cle arly hear XX power ge neration com panie s mature and symmetry breathi ng. Recalli ng past one a nother across a raili ng, we are e nthusiasti c and full of confide nce . Future development opportunities, we m ore exciting fight more s pi rited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformat ion sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

1.分别在下列两个坐标系中作出 y= 解:列表 描点 连线

6 6 和 y=- 的图象. x x

y
6 4 2

y
6 4 2

-6

-4

-2

O
-2 -4 -6

2

4

6

x

-6

-4

-2

O
-2 -4 -6

2

4

6

x

2.小结: (1)反比例函数的图象都有两个分支,我们将反比例函数的图象称为 . (2) 当 k>0 时, 反比例函数的图象的两个分支位于第 象限, 且在每个象限内 y 值随 x 的增大而 ; 当 k<0 时,反比例函数的图象的两个分支位于第 象限,且在每个象限内 y 值随 x 的增大而 . (3)反比例函数图象的两个分支关于 对称,且随着 x 的不断增大(或减小) ,反比例函数的图象越来越接* 于坐标轴,但永不相交. (4)在反比例函数 y ?

k 图象上任取一点,分别向 x、y 轴作垂线,所得到长方形的面积是 x

.

三.释疑提高 2 1.已知反比例函数 y ? (2 ? a) xa ?10 中,y 随 x 的增大而减小,则 a= . m 2.反比例函数 y ? 的图象的两个分支在第二、四象限,则点(m,m-2)在第 x

象限.

26.1.3 反比例函数的图象和性质
一.温故知新 1. 反比例函数的图象都有 个分支,我们将反比例函数的图象称为 . 2. 当 k>0 时, 反比例函数的图象的两个分支位于第 象限, 且在每个象限内 y 值随 x 的增大而 ; 当 k<0 时,反比例函数的图象的两个分支位于第 象限,且在每个象限内 y 值随 x 的增大而 . 3. 反比例函数图象的两个分支关于 对称,且随着 x 的不断增大(或减小) ,反比例函数的图象越来越接*于
坐标轴,但永不相交. 4 4. 函数 y ? 的图象的两个分支在第 象限;在每个象限 y 都随 x 的增大而 x 4 函数 y ? ? 的图象的两个分支在第 象限;在每个象限 y 都随 x 的增大而 x 5. 已知 y 是 x 的反比例函数, 当 x=3 时, y=-6, 则 y 与 x 的函数关系式是: 当 y=4 时,x= . 二.学*新知 例 3、已知反比例函数的图象经过点 A(2,6) 。 (1)这个函数的图象位于哪些象限?y 随 x 的增大如何变化? (2)点 B(3,4) ,C(2,5)是否在这个函数的图象上? . . ; 当 x=-2 时, y= ;

例 4、如图是反比例函数 y ?
2

m?5 的图象的一支。根据图象回答下列问题: x
To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited. Employees, let us t ogether a cros s 2013 full of chall enges a nd

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the inform ation manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care t o e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance m anagement . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

(1)图象的另一支位于哪个象限?常数 m 的取值范围是什么? (2)在这个函数图象的某一支上任取点 A(a,b)和点 B(a,b′) 。如果 a>a′,那么 b 和 b′有怎样的大小关系?

三.释疑提高 1.图中反比例函数上一点向两坐标轴作垂线所得长方形面积为 3,则该函数的解析式是
y
A y
y

.

y

O

x
C

O B

A

x

O B

O
x

A C x

B

D

第1题图

第2题图

第4题图

第5题图

2.如图中直角△ ABC 面积为 8,则图中双曲线的解析式是 . k 3.若点 A(-2,a)、B(-1,b)、C(3,c)在反比例函数 y ? (k<0) 的图象上,比较 a、b、c 的大小关系. x

m 图象交于点 A(-2,1)、B(1,n)两点, (1)求反比例函数及一 x 次函数的解析式; (2)根据函数图象写出一次函数的值大于反比例函数的值时 x 的取值范围.
4.如图,一次函数 y=kx+b 的图象与反比例函数 y ?

8 的图象上,直线 AB 分别与 x 轴、y 轴于 C、D.求: (1)直线 AB 的解 x 析式; (2)C、D 两点的坐标; (3)S△ AOC∶S△ BOD .
5.如图,已知点 A(4,m)、B(-1,n)在 y ?

26.1.4 反比例函数的图象和性质
一.温故知新
m 的图象上一点向两坐标轴作垂线,得到的长方形的面积为 . x m 2. 一次函数 y=kx+b 的图象与反比例函数 y ? 图象交于点 A(-3,2)、B(1,t)两点,则反比例函数解析式 x
1. 反比例函数 y ?
play levels ca dres in enterpri se devel opme nt in the of back bone backb one role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety manag ement mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at t his time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

3

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformat ion sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

为: 二.学*新知

;一次函数的解析式为:

; )
y

例 1.函数 y=-kx+k 与 y=-

k (k≠0)在同一坐标系中的图象可能是: ( x
y y y

O

x

O

x

O

x

O

x

8 例 2.如图,反比例函数 y ? ? 与一次函数 y ? ? x ? 2 的图象交于 A、B 两点. x (1)求 A、B 两点的坐标; (2)求△ AOB 的面积; (3)在直线 AB 上是否存在点 P,使 S△ POA=2S△ AOB.
y A D

A

B

C

D

O B

x

k 的 y 随 x 的增大而减小,一 x 次函数 y=-k2x-k+a+4 经过点(-2,4).(1)求 a 的值;(2) 求反比例函数和一次函数的解析式;(3)在直角坐标系中, 画出一次函数的图象,利用图象求出当函数 y 的值在-3≤y≤4 范围内时,相应 x 值的范围.
例 3.已知:正比例函数 y=ax 图象上的点的横坐标和纵坐标互为相反数,反比例函数 y=

三.归纳小结:

26.2.1 实际问题与反比例函数
一.温故知新 1.
称为反比例函数. 4 2. 反比例函数 y ? 的图象的两个分支分别在第 象限,在每个象限,y 随 x 的增大而 . 反比例函数 x 4 象限,在每个象限,y 随 x 的增大而 . y ? ? 的图象的两个分支分别在第 x 4 3. 函数 y ? 的图象的图象上一点向两坐标轴作垂线,所得长方形的面积是 . x 4. 已知 y 是 x 的反比例函数, 当 x=3 时, y=-2, 则 y 与 x 的函数关系式是: ; 当 x=-3 时, y= ; 当 y=1 时,x= . 二.学*新知 例 1、市煤气公司要在地下修建一个容积为 104m3 的圆柱形煤气储存室。
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

4

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the inform ation manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care t o e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance m anagement . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

(1)储存室的底面积 S(单位:m2)与其深度 d(单位:m)有怎样的函数关系? (2)公司决定把储存室的底面积 S 定为 500m2 ,施工队施工时应该向下掘进多深? (3)当施工队按(2)中的计划掘进到地下 15m 时,碰上了坚硬的岩石。为了节约建设资金,公司临时改变计划, 把储存室的深改为 15m ,相应地,储存室的底面积应改为多少才能满足需要?

例 2、码头工人以每天 30 吨的速度往一艘轮船上装载货物,装载完毕恰好用了 8 天时间。 (1)轮船到达目的地后开始卸货,卸货速度 v(单位:吨/天)与卸货时间 t(单位:天)之间有怎样的函数关系? (2)由于遇到紧急情况,船上的货物必须在不超过 5 天内卸载完毕,那么*均每天至少卸多少吨货物?

三.释疑提高 1.矩形的面积是 2cm2,设长为 ycm,宽为 xcm,则 y 与 x 的函数关系式是 。 2.某厂现有 300 吨煤,这些煤能燃烧的天数 y 与*均每天烧煤的吨数 x 之间的函数关系式是 . 3.某市在拆违行动中产生了 5000 吨垃圾,市政公司承担了这些垃圾的清运工作.(1)若每小时运送的垃圾重量为 m(吨)与完成任务所需时间 t(小时)之间具有怎样的函数关系?(2)市政公司调来了 4 辆载重 10 吨的运输车,每小 时*均运送 25 吨,需多长时间完成?(3)如果按(2)中的速度要在两天(每天按 8 小时计)内完成,必须再增 加多少辆同样载重的汽车?
4.甲乙两地相距 100 千米,汽车从甲地开往乙地的速度 y(千米/时)与时间 t(小时)的函数关系式是什么?如果速度增 加 10 千米/时,则时间少用多少?

四.归纳小结:

26.2.2 实际问题与反比例函数
1. 码头工人以每天 30 吨的速度往一艘轮船上装载货物,把轮船装载完毕恰好用了 8 天时间.(1)轮船到达目的地后 开始卸货, 卸货的速度 v(吨/天)与卸货时间 t(天)有怎样的函数关系?(2)由于遇到紧急情况, 船上的货物必须在不超 过 5 日内卸货完毕,那么每天至少要卸载多少吨货物?

2. 一辆汽车往返于甲乙两地之间,如果汽车以 50 千米/小时的*均速度从甲地出发,经过 6 小时到达乙地.(1)如果 令汽车速度为 v 千米/小时,从甲地到乙地的时间为 t 小时,写出 v 与 t 的函数关系式;(2)因为某种原因,汽车要在 5 小时内到达乙地,则此时汽车的*均速度至少应为多少?(3)已知汽车的*均速度最大是 80 千米/小时,则从甲地 到乙地最少需要多少时间?

play levels ca dres in enterpri se devel opme nt in the of back bone backb one role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety manag ement mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at t his time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

5

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformat ion sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

3.气球充满了一定质量的气体,当温度不变时,气球内的气压 p(kpa)是气体体积 V 的反比例函数,当气体的体积是 0.8m3 时,气球内的气压为 120kpa, (1)写出气压 p(kpa)与气体体积 V 的函数关系式; (2)当气球的体积是 1m3 时, 气压是多少?(3)当气球的气压大于 140 kpa 时,气球将爆炸,为安全起见,气球的体积不应小于多少?

4.制作一种产品,需先将材料加热到 60° C 后,再进行操作,设该材料温度为 y(° C ),从加热开始计算的时间 x(分), 据了解,该材料加热时,温度 y 与时间 x 成一次函数;停止加热进行操作时,温度 y 与时间 x 成反比例函数,如下 图,已知该材料加热前的温度为 15° C,加热 5 分钟后,达到 60° C.(1)分别求出将材料加热和停止加热进行操作时, y 与 x 的函数关系式;(2)根据工艺要求,当材料温度低于 15° C 时,需停止操作,那么从开始加热到停止操作共经 历了多少时间?
y/° C
60 50 40 30 20 10

O

5

10 15 20 25 30

x/分钟

《26.反比例函数》复*
一.考点透视
l. 反比例函数的概念:一般地,如果两个变量 x、y 之间的关系可以表示成 y ? 么称 y 是 x 的反比例函数。

k (k 为常数, k ? 0 )的形式,那 x

k 的图象是双曲线,它有两个分支,这两个分支分别位于第一、三象限或第 x 二、四象限。它们关于原点对称、反比例函数的图象与 x 轴、y 轴都没有交点,即双曲线的两个分支无限接*坐标 轴,但永远不与坐标轴相交。 3. 反比例函数的性质 k y ? ( k ? 0 )的变形形式为 xy ? k (常数)所以: x ①其图象的位置是:当 k ? 0 时,x、y 同号,图象在第一、三象限;当 k ? 0 时,x、y 异号,图象在第二、四象限。 k ②若点(a,b)在反比例函数 y ? 的图象上,则点(-a,-b)也在此图象上,故反比例函数的图象关于原点对称。 x ③当 k ? 0 时,在每个象限内,y 随 x 的增大而减小;当 k ? 0 时,在每个象限,y 随 x 的增大而增大; 4.用反比例函数解决实际问题 ①反比例函数在现实世界中普遍存在, 在应用反比例函数知识解决实际问题时, 要注意将实际问题转化为数学问题。 ②针对一系列相关数据探究函数自变量与因变量*似满足的函数关系。 ③列出函数关系式后,要注意自变量的取值范围。 二.*题透视 类型一 反比例函数的概念 例 1. *视眼镜的度数 y(度)与镜片焦距 x(m)成反比例,已知 400 度*视眼镜镜片的焦距为 0.25m,则 y 与 x 的函数关系式为 ________. 类型二 反比例函数的图象 8 例 2 如图,双曲线 y ? 的一个分支为( ) x A. ① B.② C .③ D.④
2. 反比例函数的图象:反比例函数 y ?
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

6

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the inform ation manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care t o e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance m anagement . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

类型三

反比例函数的性质

1 例 3 若 A(?3, y1 ) 、B(?2, y2 ) 、 C (?1, y3 ) 三点都在函数 y ? ? 的图象上, x y1、y2、y3 的大小关系是( )

I(A)



P(9,4) A. y1 ? y2 ? y3 B. y1 ? y2 ? y3 C. y1 ? y2 ? y3 D. y1 ? y3 ? y2 . 4 类型四 反比例函数的应用 9 R(Ω) 阻 R(Ω) 例 4 某种蓄电池的电压为定值,使用此电源时,电流 I(A)与可变电 O 之间的函数关系如图所示,当用电器的电流为 10A 时,用电器的可变电 阻为 _____Ω. 类型五 以反比例函数和一次函数为基架的综合题. 3 k 例 5 如图,Rt△ ABO 的顶点 A 是双曲线 y ? 与直线 y=-x+k+1 在第四象限的交点,且 S△ ABO= , 2 x ①求这两个函数的解析式;②求直线与双曲线的两个交点 A、C 的坐标和 S△ ACO. ③根据图象写出使一次函数的值大于反比例函数的值的 x 的取值范围. ④直线 AC 上是否存在一点 P,使 S△ POA=2S△ AOC ,若存在求出点 P 的坐标;若不存在,说明理由。

y

C B O D A x

能力训练 1.已知点(1,2)在反比例函数的图象上,则该反比例函数的解析式为_________. k 2.函数 y ? kx ? b(k ? 0) 与 y ? (k ? 0) 在同一坐标系中的图象可能是( ) x
y y y y

x

x

x

x

A

B

C

D

k 1 1 1 3.若 M (? , y1 ), N (? , y2 ) , P( , y3 )三点都在函数 y ? (k<0)的图象上,则 y1 , y2 , y3 的大小关系为( ) x 2 4 2 A. y2>y3>y1; B. y2>y1>y3; C. y3>y1>y2 D. y3>y2>y1 4. 已知反比例函数的图象经过点 P(3,-1),则这个函数的图象位于( ) A.第一、三象限 B.第二、三象限 C.第二、四象限 D.第三、四象限 k 5.已知反比例函数 y ? (k ? 0) 的图像上有两点 A(x1,y1),B(x2,y2),且 x1<x2,则 y1-y2 的值是 x ( ) A.正数 B.负数 C.非正数 D.不能确定 6.*视眼镜的度数 y(度)与镜片焦距 x(米)成反比例. 已知 400 度*视眼镜 ρ(kg/m3) 镜片的焦距为 0.25 米, 则眼镜度数 y 与镜片焦距 x 之间的函数关系 式是 _____________. 7.在一个可以改变容积的密闭容器内,装有一定质量 m 的某种气体, 当改变容积 m V 时,气体的密度 ρ 也随之改变.ρ 与 V 在一定范围内满足 ρ ? ,它 的图象如图 P(5,1.4) V 1.4 所示,则该气体的质量 m 为( ) O 5 A. 1.4kg B. 5kg C. 6.4kg D. 7kg. V(m3)
play levels ca dres in enterpri se devel opme nt in the of back bone backb one role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety manag ement mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at t his time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

7

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformat ion sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

1? k 的图象与直线 y=x 没有交点,则 k 的取值范围是: x 9.如图,P1、P2、P3 是双曲线上的三点,过这三点分别作 y 轴的垂线,得 △ P1A1O、 △ P2A2O、 △ P3A3O, 设它们的面积分别是 S1、 S2、 S3, 则( ) A. S1<S2<S3; B. S2<S1<S3; C. S1<S3<S2 D. S3=S2=S1 8 10.已知一次函数 y=kx+k 的图象与反比例函数 y ? ? 的图象在第四象限交 x 求 k、n 的值.
8.函数 y=

. 到三个三角形
y P1 P2 P3 O A1 A2 A3 x

于点 B(4, n) ,

k 的图象与一次函数 y ? kx ? m 的图象相交于点 (2, 1) .①分别求这两个函数的解析式.②试判 x 断点 P (?1, ?5) 关于 x 轴的对称点 P ' 是否在一次函数 y ? kx ? m 的图象上.
11.已知反比例函数 y ?

k (k ? 0) 和一次函数 y ? ? x ? 6 .①若一函数和反比例函数的图象交于点 (?3, m) ,求 m 和 k x 的值.②当 k 满足什么条件时,这两个函数的图象有两个不同的交点?③当 k ? ?2 时,设②中的两个函数图象的交 点分别为 A、B,试判断 A、B 两点分别在第几象限?∠AOB 是锐角还是钝角(只要求直接写出结论)?
12.已知反比例函数 y ?

k 上一点,过 A 作 AC⊥x 轴,垂足为 C,且 S△ AOC=2. x ①求该反比例函数解析式;②若点(-1,y1),(-3,y2)在双曲线上,试比较 y1、 y2 的大小.
13.已知,点 A 在第二象限内,且为双曲线 y ?

8 14.已知一次函数 y ? kx ? b(k ? 0) 的图象与反比例函数 y ? ? (m ? 0) 的图象交于 A,B 两点,且 A 点的横坐标与 B x 点的纵坐标都是-2;①一次函数的解析式②△AOB 的面积。

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

8

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the inform ation manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care t o e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance m anagement . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

k2 只有—个交点 A(1,2),且与 x 轴、y 轴分别交于 B,C 两点 AD 垂直*分 OB,垂足 x 为 D,求直线、双曲线的解析式.
15.直线 y=k1x+b 与双曲线 y=
C y A

O D B

x

k 16.已知反比例函数 y ? (k ? 0) 的图象经过点 A( ? 3, m ) ,过点 A 作 AB⊥x 轴于点 B,且△ AOB 的面积为 3 。 x ①求 k 和 m 的值;②若一次函数 y ? ax ? 1 的图象经过点 A,并且与 x 轴相交于点 C ,求其解析式.
y A C BO

x

17. 为了预防流感, 某学校对教室采用药熏清毒法进行消毒, 已知药物燃烧时, 室内每立方米空气中的含药量 y(mg) 与时间 x(min)成正比例.药物燃烧后,y 与 x 成反比例(如图所示),现测得药物 8min 燃毕,此时室内空气中每立方米 的含药量为 6mg,请根据题中所提供的信息,解答下列问题: (1)药物燃烧时,y 关于 x 的函数关系式为:________, 自变量 x 的取值范围是:_______,药物燃烧后 y 关于 x 的函数关系式为_______. (2)研究表明,当空气中每立方米的含药量低于 1.6mg 时学生方可进教室,那么从消毒开始,至少需要经过______ 分钟后,学生才能回到教室; (3)研究表明,当空气中每立方米的含药量不低于 3mg 且持续时间不低于 10min 时,才能有效杀灭空气中的病菌, 那么此次消毒是否有效?为什么?
y(mg)

6

O

8

x(min)

反比例函数测试题
一、选择题(每小题3分,共30分) 1. 已知 y ? (m ? 1) x m?2 是反比例函数,则函数的图象在( ) A.一、三象限 B.二、四象限 C.一、四象限 D.三、四象限 k 2.若反比例函数 y ? 的图象经过点(-1,2) ,则这个函数的图象一定经过点( x 1 1 A. (-2,-1) B. (- ,2) C. (2,-1) D. ( ,2) 2 2
play levels ca dres in enterpri se devel opme nt in the of back bone backb one role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety manag ement mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!



To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at t his time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

9

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformat ion sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

n?5 的图象经过点(2,3) ,则 n 的值是( ) x A.-2 B.-1 C.0 D.1 k ?1 4.反比例函数 y ? 的图象在每个象限内,y 随 x 的增大而减小,则 k 的值可为( x A. ? 1 B.0 C.1 D.2
3.反比例函数 y ?
2



5.反比例函数 y ? (2m ? 1) xm ?2 ,当 x > 0 时, y 随 x 的增大而增大,则 m 的值是( ) 1 A. ?1 B.小于 的实数 C. ?1 D.1 2 6.正比例函数与反比例函数图象都经过点(1,4),在第一象限内正比例函数图象在反比例函数图象上方的自变量 x 的取值范围是( ) A.x>1 B.O<x<1 C.x>4 D.0<x<4 k 7.已知点 P 是反比例函数 y ? (k ? 0) 的图像上任一点,过 P 点分别作 x 轴、y 轴的*行线,若两*行线与坐标轴围 x 成矩形的面积为 2,则 k 的值为( ) A. 2 B . -2 C. ± 2 D. 4 1 8.如果两点 P1(1,y1)和 P2(2,y2)都在反比例函数 y ? 的图象上,那么( ) x A.y2<y1<0 B.y1<y2<0 C.y2>y1>0 D.y1>y2>0 9.如图,梯形 AOBC 的顶点 A、C 在反比例函数图象上,OA∥BC,上底边 OA 在直线 y=x 上,下底边 BC 交 x 轴于 y E(2,0) ,则四边形 AOEC 的面积为( ) A.3 C. 3 -1 D. 3 +1 k 10. 函数 y ? kx ? b (k ? 0) 与 y ? (k ? 0) 在同一坐标系中的图象可能是( x
y y y y

B. 3

)

A 1 O B 第9题图 E

y=x C x

x

x

x

x

A

B

C

D

将以上选择题的答案填入下列表格中: 题号 答案 二、填空题(每小题 3 分,共 30 分) 11. 反比例函数 y=(a-3)x│a│-4 的函数值为 4 时,自变量 x 的值是_________. 12. 老师在同一直角坐标系中画出了一个反比例函数的图象以及正比例函数 y = - x 的图象,请同学们观察有什 么特点并说出来.同学甲:与直线 y = - x 有两个交点;同学乙:图象上任意一点到两坐标轴的距离的积是 5,请 你根据同学甲和同学乙的说法,写出反比例函数的解析式 . 1 2 3 4 5 6 7 8 9 10

k 13.如果反比例函数 y ? (k ? 0) 的图象经过点(1,-2) ,则这个函数的表达式是_________.当 x<0 时,y 随 x 的增 x
大而_________(填“增大”或“减小) 14.双曲线 y ?

k 与直线 y=mx 相交于 A、B 两点,B 点坐标为(-2,-3),则 A 点坐标为_____________. x 1 的自变量 x 的取值范围是: x ?3
.

15.函数 y= 2 x ? 5 ?

play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

10

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the inform ation manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care t o e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance m anagement . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

4 16.如果函数 y=-x 与 y= ? 的图像交于 A、B 两点, 过点 A 作 AC 垂直于 y 轴, 垂足为点 C, 则△ BOC 的面积 x

为___________. 17.若 A、B 两点关于 y 轴对称,且点 A 在双曲线 y= (a,b),则

1 上,点 B 在直线 y=-x+3 上,设点 A 的坐标为 2x

a b ? = b a

.

18.在一个可以改变容积的密闭容器内,装有一定质量的某种气体,当改变容 V 时,气体的密度 ρ 也随之改变.在 一定范围内,密度 ρ 是容积 V 的反比例函数.当容积为 5m3 时,密度是 1.4kg/m3,则 ρ 与 V 的函数关系式为 _______________. 19. 已知 y1 与 x 成正比例(比例系数为 k1),y2 与 x 成反比例(比例系数为 k2),若函数 y=y1+y2 的图象经过点(1,2), (2,

1 ),则 8k1+5k2 的值为________. 2
4 交于 A(x1,y1) ,B(x2,y2)两点,则 2x1y2-7x2y1=___________. x

20.直线 y=kx(k>0)与双曲线 y ?

三、解答题(共 60 分) k 21. 在反比例函数 y ? 的图像的每一条曲线上,y 都随 x 的增大而减小. x ①求 k 的取值范围;②在曲线上取一点 A,分别向 x 轴、y 轴作垂线段,垂足分别为 B、C,坐标原点为 O,若四边 形 ABOC 面积为 6,求 k 的值. (8 分)

k k ?0) 22.已知一次函数 y1 ? x ? m (m 为常数) 的图象与反比例函数 y2 ? (k 为常数, 的图象相交于点 A (1, 3) .① x 求这两个函数的解析式及其图象的另一交点 B 的坐标;②观察图象, 写出使函数值 y1≥y2 的自变量 x 的取值范围. (8 分)

m (m ? 0) 的图象经过点 A (?2,1) ,一次函数 y2 ? kx ? b(k ? 0) 的图象经过点 x C (0,3) 与点 A ,且与反比例函数的图象相交于另一点 B . (1)分别求出反比例函数与一次函数的解析式; ( 2) 求点 B 的坐标. (8 分)
23. 如图,已知反比例函数 y1 ?

play levels ca dres in enterpri se devel opme nt in the of back bone backb one role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety manag ement mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at t his time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

11

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the information manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformat ion sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care to e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance management . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

y

B A
-2 -1 O

C
2 1 1 -1 -2 2 x

24. 一定质量的氧气, 它的密度 ? (kg/m3) 是它的体积 V (m3) 的反比例函数, 当 V = 10m3,? = 1.43kg/m3 时. (1) 求 ? 与 V 的函数关系式; (2)求当 V = 2m3 时,氧气的密度 ? .(8 分)

4 x (x > 0)的图象上,斜边 OA1、A1A2、A2A3……An-1An 都在 x 轴上.⑴求 A1、A2 点的坐标;⑵猜想 An 点的坐标(直接 写出结果即可) (8 分)

25. 如图, △ P1OA1, △ P2A1A2, △ P3A2A3……△ PnAn-1An 都是等腰直角三角形, 点 P1、 P2、 P3……Pn 都在函数 y ?

y

P1

P2 A1 A2

P3 A3 x

O

2 的图像与一次函数 y=kx+b 的图像交于点 A(m,2),点 B(-2, n ),一次函数图像与 y 轴的交点 x 为 C。①求一次函数解析式;②求 C 点的坐标;③求△ AOC 的面积。 (10 分)

26. 反比例函数 y=

27. 已知:如图,正比例函数 y ? ax 的图象与反比例函数 y ?

k 的图象交于点 A(3,2). x

①试确定上述正比例函数和反比例函数的表达式; ②根据图象回答,在第一象限内,当 x 取何值时,反比例函数的值大于正比例函数的值? ③M(m,n)是反比例函数图象上的一动点,其中 0<m<3 过点 M 作直线 MN∥x 轴,交 y 轴于点 B;过点 A 作直线 AC∥y 轴交 x 轴于点 C,交直线 MB 于点 D.当四边形 OADM 的面积为 6 时,请判断线段 BM 与 DM 的大小关系,
play levels ca dres in enterpri se devel opme nt in the of back bone backbone role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety management mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利 To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at this time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited. Employees, let us t ogether a cros s 2013 full of chall enges a nd opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

12

We will conti nue t o improve t he company' s interna l control system, a nd steady impr ovement in a bility to ma nage and control , optimiz e busine ss proce sse s, to e nsure smoot h pr oce sses, re spons ibilitie s in place; to furt her strengt hen i nternal controls, play a control post indepe nde nt oversig ht role of evaluation com plying wit h third -party respons ibility ; to actively make use of internal a udit tools detect pote ntial management , streamline, standardize relate d trans actions, strengthe ning operations in a ccordance wit h law. Dee pe ning the inform ation manageme nt to ensure full communicati on "zero resista nce". To consta ntly perfect ER P, and BFS++ , and PI, and MIS, a nd SCM, informati on system based construction, full i ntegration i nformation sy stem, achieved i nformation re sour ces share d; to expand Portal system a ppli cation of brea dth a nd dept h, play i nformation sy stem on e nterprise of Assista nt role; t o perfect daily r un mainte nance operation of records, prom ote problem reas ons analy sis and system handover; t o strengtheni ng BFS++, and ERP, and SCM, technology a ppli cation of training , improve em ployee s applicati on i nformation system of capa city and level. H umanistic care t o e nsure "zer o." To strengthe ning H umanitie s care , conti nue s to foster company w ind clea r, and gas are, a nd heart Shun of culture atmosphere; stre ngthe ning l ove hel ped trapped, care difficult empl oyees; carried out style activities, ri ch em ployee s life; strengtheni ng healt h and labour protecti on, organizati on career he alth medi cal, control career a gainst; conti nues t o implementati on psychol ogical war ning preventi on system, traini ng empl oyees health of chara cter, a nd sta ble of mood and enter prisi ng of attitude , created frie ndly fraternity of H umanities e nvironment. To stre ngthen ri sk manageme nt, ens ure that t he business of "zero risk". To strengthene d busine ss pl ans ma nagement, w ill busine ss busi nes s pla ns cover to all level , ens ure the busine ss ca n control i n control ; to cl ose concer n financial, a nd coal e lectri c linkage, a nd e nergy-saving s che duli ng, nati ona l poli cy trends, stre ngthe ning track , active s hould; to impleme ntation St ate-ow ned a ssets method, further s pecification busine ss fina ncial ma nagement; t o perfect ri sk tube control system, a chieve d risk re cogniti on, and mea sure, a nd a sses sment, a nd re port, a nd contr ol feedback of cl ose d ring ma nagement, impr ove risk preve ntion ca pacit y. To further standardi ze trading, a nd strive t o achieve "accordi ng to la w, standardiz e and fair." Innovation of performance manageme nt, to ensure that pote ntial employ ees "zero fly". To stre ngthe n performa nce ma nagement, pr oce ss contr ol, enhance empl oyee eval uation a nd l evels of effective communi cation t o improve performance m anagement . To furt her quantify and refine empl oyee standar ds ... Work, full play party, a nd branch, a nd member s in "five type Enterpri se" construction in the of core r ole, a nd fighting fortres s role a nd pi oneer model role; t o continues to stre ngthe ning "four good" lea dershi p constr ucti on

并说明理由.
y
B D

A

O

C

x

play levels ca dres in enterpri se devel opme nt in the of back bone backb one role; t o full strengtheni ng members youth w ork, full play youth em ployee s in company development i n the of force r ole; to impr ove independent Commissi on against corr upti on w ork level, strengt heni ng on enter prise busi ness key link of effectiveness m onitore d. , And maintai n stabilit y. To further stre ngthe n publi city and e ducation, improve t he overall legal system. We must stre ngthen safety management, esta blis h and improve the education, s upervi sion, and evaluati on as one of the traffic safety manag ement mecha nism. 件 铁 预 需 所 架 筋 钢 及 立 支 埋 时 注 浇 。 整 表 和 保 确 压 搓 抹 木 并 将 顶 模 沿 杠 刮 实 密 器 捣 振 板 * 铺 摊 人 , 面 工 施 到 砼 送 输 泵 定 固 的 边 坑 基 在 设 用 利

To cons cienti ously sum up the Olympi c se curity control s, pr omoting integrated ma nagement to a higher leve l, hig her standards , a higher level of devel opme nt. Employe es, today is lunar cale ndar on D ecem ber 24, the ox Be ll is about to ri ng, at t his time of year, we clearly feel the puls e of the XX power generation compa ny to flouri sh, t o more clearly hear XX power ge neration companie s mature and symmetry breathing . Recalling past one another a cros s a railing , we are ent husi astic a nd full of confi dence. Fut ure devel opme nt opport unitie s, we more exciti ng fight more spir ited.

Employees, let us t ogether a cros s 2013 full of chall enges a nd

opportunities, to create a green, low -cost operation, full of huma ne care of a world -cla ss power ge neration com pany and work hard! The occasi on of the Spring Festival, my sincere wi sh that y ou a nd the families of the staff in the ne w year, good health, happy, happy!

13



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