1 . 我们知道,对于关于x的一元二次方程
,如果该方程有两个实数根
和
,那么这两个根与方程的系数之间满足以下关系:①
;②
.此外,根与方程的系数的关系还可以推广到一元n次方程:对于方程
,其中
是方程的n个实数根,其中所有根的和为
;所有根的积为
,请结合上述材料,解答下列问题:
(1)方程
的一个实数根是
,则
________;方程
的两个根
,
,则第三个根
________.
(2)若m,n是关于x的一元二次方程
两个实数根,且m,n满足
,求k的值.
(3)在平面直角坐标系
内,一次函数
与反比例函数
(
,
)图象的两个交点A、B的横坐标分别是
、
,设
的面积是S.当t取何值时,S有最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ff52ec8dab4aaac7b28a0efe580d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05dd02b6f561dcf94bab8a3160108d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2821505cff9f2179795ebe2fbf01a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc2287a601b334908c58609a5ce2f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dec717182be7265a9a11f65068da359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437208ec6587ac66bd2284418529ce13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df1c0de73a95db222c22c22504a8bb3.png)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc71c0f47839fd694654a790eb53403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/653d65b8bf94cac19290bd97abd85cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e4fd085ee10f340a008389c4a1a80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7ad31dd3397f7d2830182a8d309289.png)
(2)若m,n是关于x的一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caec54b40b34ead7cb1e68df0c892827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2c545a5e92b066cb21323367640090.png)
(3)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeabebd5bd9968bf5604ae1243476b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c35e0b2cc50914a0004cf013813ec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b776563369e5e14aba959c5d3bada47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
您最近一年使用:0次
2 . 已知反比例函数
的图象经过点
,且与一次函数
的图象在同一坐标系中.
的图象与一次函数
的图象只有一个公共点时,求n的值;
(2)如图2,当直线
经过点A时,它与反比例函数
的另一个交点记为B,在y轴上找一点M,使
的周长最小,求出M的坐标及
周长的最小值;
(3)如图3,点P是反比例函数图象上A点左侧一点,连接
,把线段
绕点A逆时针旋转
,点P的对应点Q恰好也落在这个反比例函数的图象上,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746de43701a269ea4c7ed384ee371116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab707ee5a7e58275b1b752cbc03f8921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5848d7371b15965ab8990329fe04bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746de43701a269ea4c7ed384ee371116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5848d7371b15965ab8990329fe04bd.png)
(2)如图2,当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5848d7371b15965ab8990329fe04bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746de43701a269ea4c7ed384ee371116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
(3)如图3,点P是反比例函数图象上A点左侧一点,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
您最近一年使用:0次
3 . 如图,
的顶点C在x轴的正半轴上,反比例函数
的图象经过点
,与边
交于点D,
,则直线
的表达式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f3fbb2fdd9b947f14e047f3210d6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/222610ace019d208524755a240bf7113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e06b87c645092fc5dd97d70f2cea28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5fc4ad65b723b6a8da4c8dac154e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
您最近一年使用:0次
4 . 实践探究题
【定义】在平面内,把一个图形上任意一点与另一个图形上任意一点之间的距离的最小值,称为这两个图形之间的距离,即A,B分别是图形M和图形N上任意一点,当
的长最小时,称这个最小值为图形M与图形N之间的距离.
,线段
的长度称为点A与直线
之间的距离,当
时,线段
的长度也是
与
之间的距离.
【应用】
(1)如图2,在等腰
中,
,
,点D为
边上一点,过点D作
交
于点E.若
,
,则
与
之间的距离是______;
(2)如图3,已知直线
:
与双曲线
:
交于
与B两点,点A与点B之间的距离是______,点O与双曲线
之间的距离是______;
(3)按规定,住宅小区的外延到高速路的距离不超过
时,需要在高速路旁修建与高速路相同走向的隔音屏障(如图4).有一条“东南—西北”走向的笔直高速路,路旁某住宅小区建筑外延呈双曲线的形状,它们之间的距离小于
.现以高速路上某一合适位置为坐标原点,建立如图5所示的直角坐标系,此时高速路所在直线
的函数表达式为
,小区外延所在双曲线
的函数表达式为
,那么需要在高速路旁修建隔音屏障的长度是多少?
【定义】在平面内,把一个图形上任意一点与另一个图形上任意一点之间的距离的最小值,称为这两个图形之间的距离,即A,B分别是图形M和图形N上任意一点,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd2d246f0850db73fe2e6b1e26eb549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73914b8189da50ca10a629b52010f9eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
【应用】
(1)如图2,在等腰
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3532d491a3cf0949e944b7f9ebd2be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
(2)如图3,已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812eed46a589bde8b7c78a81a8cf9b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9940526785ca763da2dfa35e77c934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b081a3d49f59c6a96a8afb7511f91875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(3)按规定,住宅小区的外延到高速路的距离不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44003c743125991c074837c08593bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44003c743125991c074837c08593bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e01fa2a8932909b7b54b4137d8a055.png)
您最近一年使用:0次
5 . 如图
,直线
与反比例函数
的图象交于点
和点
,与
轴交于点
,与
轴交于点
.
的值.
(2)将
沿直线
翻折,点
落在第一象限内的点
处,
与反比例函数的图象交于点
.
①求点
的坐标.
②在
轴上是否存在点
,使得
是以
为斜边的直角三角形?若存在,请求出所有符合条件的点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9940526785ca763da2dfa35e77c934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a2623b228577107a00f9d9ba7a388d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c86dff12d233a95bf06fa25313ca79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4807ca16360c0cca436e59d4be98f626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
①求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
②在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd28db93364ac2a6f0e75ed245dbbfd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2024-04-22更新
|
319次组卷
|
3卷引用:2024年山东省济南市莱芜实验学校模拟预测数学模拟预测题
2024年山东省济南市莱芜实验学校模拟预测数学模拟预测题2024年山东省济南市长清区第三初级中学九年级第二次调研摸底数学试题(已下线)考题猜想11-2 反比例函数 (压轴必刷8种题型)-2023-2024学年八年级数学下学期期末考点大串讲(苏科版)
6 . 如图,在平面直角坐标系
中,直线
与y轴交于点A,与反比例函数
的图象的一个交点为
,过点B作
的垂线l.
(2)直线
和反比例函数的另一个交点为C,求
的面积;
(3)P是直线l上一点,连接
,以P为位似中心画
,使它与
位似,相似比为m.若点D,E恰好都落在反比例函数图象上,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1882d2f789de61b5b7e3ec952e13b99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ef69e07fc696a9450c500d357aac24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
(3)P是直线l上一点,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
7 . 如图1,直线
经过点
,交反比例函数
的图象于点
,点
为第二象限内反比例函数图象上的一个动点.
的表达式;
(2)过点
作
轴交直线
于点
,连接
,
,若
的面积是
面积的
倍,请求出点
坐标;
(3)平面上任意一点
,沿射线
方向平移
个单位长度得到点
,点
怡好在反比例函数
的图象上;
①请写出
点纵坐标
关于
点横坐标x的函数关系式
______;
②定义
,则函数
的最大值为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240479e45c962e843605c936e903aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d1e4a02f6a99a4b838dcaf9541d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d105b74c40724a7da626e7c42afbf5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49c77f27b6b40e1a8d5a1d16cfdf98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7081e041ddf37af292ab559c7a5146a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147de24f071e316b68fd2e78e3c84545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4234cf4d8159f5df0333bcc269ffe099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)平面上任意一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23248e0ebb865b5f143e53338fd4faf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a42da28be159399514cc6179a96e34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a42da28be159399514cc6179a96e34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d105b74c40724a7da626e7c42afbf5fa.png)
①请写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb0166538e588e5918e07cd065969ec.png)
②定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53047be85b38b82a1daab3787d8c3a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4824fc268035cb5d9ed775c29a8762d.png)
您最近一年使用:0次
2024-04-10更新
|
276次组卷
|
5卷引用:2024年山东省济南市市中区中考一模数学模拟试题
2024年山东省济南市市中区中考一模数学模拟试题2024年山东省济南市中考数学模拟试题(六)(已下线)重难点02 一次函数与反比例函数综合题(4大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(上海专用)福建省泉州市丰泽区泉州市第九中学2023-2024学年八年级下学期期中数学试题数学(泰州卷)-【试题猜想】2024年中考考前最后一卷
8 . 如图,一次函数
的图像与反比例函数
的图像交于A,B两点,与x轴交于点C,与y轴交于点D.已知点
,点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/a8efc4c0-2d1a-4912-b5bf-f0753e87344e.png?resizew=170)
(1)求反比例函数与一次函数的解析式;
(2)点M是反比例函数图像上一点,当
与
的面积相等时,请直接写出点M的横坐标;
(3)将射线
绕点A旋转α度后与双曲线交于另一点Q,若
,请求出点Q的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78eba6f91d97cea1dfd73bae53e7b689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454f1c76b7b390aef0b3c57436b67e5a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/a8efc4c0-2d1a-4912-b5bf-f0753e87344e.png?resizew=170)
(1)求反比例函数与一次函数的解析式;
(2)点M是反比例函数图像上一点,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68881c60c4d8296162122ca5958e2bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372629a8666de1e9bac3e7daadcac7b6.png)
(3)将射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d59142ab797807e560fe8adf63e6ecb.png)
您最近一年使用:0次
名校
9 . 如图,在平面直角坐标系中,等腰直角三角形ABC的直角顶点
,顶点A、
恰好落在反比例函数
第一象限的图象上.
(1)分别求反比例函数的表达式和直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
您最近一年使用:0次
10 . 如图,在平面直角坐标系中,一次函数
的图象与坐标轴交于点A,B,与反比例函数
的图象交于点
,D是反比例函数图象上的一个动点,过点
向
轴作垂线与一次函数图象交于点
,其中点
的坐标为
.
(2)连接
,当
的面积等于
面积的2倍时,求点
的坐标;
(3)若P是x轴上的一个动点,连接
,当
与
相似时,求点D的纵坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aba319e62dd0fe1c2db30759a8ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63af6f2e069a5f57923bf636525c7d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079dd115a4b8cbc93918a853363786dc.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4914267aa0598458ee61b520fc4617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0005e1ef60f6ddc5f9a83e3de1ef3b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)若P是x轴上的一个动点,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be4d7121914a475b5b27c9b8c33c91f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d06fad1ed5a452a835e9a02cb011ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2024-03-21更新
|
333次组卷
|
3卷引用:2024年山东省济南市九年级中考数学复习模拟预测题
2024年山东省济南市九年级中考数学复习模拟预测题2024年四川省成都市中考数学预测题(一)(已下线)抢分通关04 一次函数和反比例函数综合问题(3易错7题型)-备战2024年中考数学抢分秘籍(全国通用)