1 . 如图,一次函数
与反比例函数
的图象相交于
,
两点,与
轴相交于点
.
(2)若点
与点
关于
轴对称,求
的面积.
(3)当
时,请直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c84097f56d1087746cd44da76a19383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060a9add520640c2339e120c2bce61a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629647152cb83bddff554480a6b48f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb68949bb5035fe3048478352471175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 如图,一次函数
的图象与反比例函数
的图象交于
,
两点.(
,
,b为常数)
(2)根据图象直接写出不等式
的解集;
(3)P为y轴上一点,若△PAB的面积为12,求P点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c143e0781facdd4e4b6db9854e0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c003cd69b59dab457ea72e29f877c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d790ccd6553346fb11e6a7b7905eb4d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
(2)根据图象直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238aa46d89c03bd1c044924e95f282dd.png)
(3)P为y轴上一点,若△PAB的面积为12,求P点的坐标.
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名校
3 . 如图,点
,
分别是正比例函数
和反比例函数
图象上一点,点
在
轴上,
,
于点
.若
,则
与
的面积之差是 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1524b3f629e0176586efb4ea437d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fce9a47080b47bc2118d5af1543e4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86eb63e1c5245964020548a8d461f983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84757ce6c1f91aa44edc5a69cf0516a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2dbb39a1f8a0f52df91047a908c6043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bec86a74ad3d806baac74e7fa59f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb961bd7db3adb76af2d4cedb611bd7.png)
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4 . 如图,一次函数
与反比例函数
的图像相交于
,
两点,分别连接
.
(2)求
的面积;
(3)请直接写出
自变量
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be508b9952ae162a8abe2830b5c0bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d071d008cdc313f6ed16a602f8a9669.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(3)请直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9888be9da086605335059c05d9901e0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 如图,一次函数
的图象与反比例函数
的图象交于点
,则不等式
的解集是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a2bbe86651ad0b011e615d15782bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45b14da169337ef13d3229ff4eb231f.png)
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6 . 如图,直线
交
轴于点
,交反比例函数
的图象于
、
两点,过点
作
轴,垂足为点
,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/bb36bbc09acaf885f1374cb82411497a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de7fcbcb1ef0134d70156bb19852ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af18947ac2cedd215bf096c3e2a94099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.8 | B.9 | C.10 | D.11 |
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7 . 如图,在平面直角坐标系中,直线
与反比例函数
的图象交于
,
两点.
的函数表达式及点B的坐标;
(2)过点A的直线分别与x轴、反比例函数
的图象交于点M,N.且
,连接
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806c58799f9bac6c601aee7aad5bb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3080b9d9aaace24823a0fd8eb469e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b431187c37d6d5edfbdb458668fb9d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)过点A的直线分别与x轴、反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bac274ba216f53f28830991b23b7de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522bf0c6d81571366cea68df5b2b8f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
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8 . 【问题提出】在数学兴趣小组的研讨中,小蒙提出了自己遇到的问题:解不等式 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f41789f4b8b6666cb435a92cabf7f56.png)
如图1,在平面直角坐标系中,分别画出函数.
和函数
的图象,从函数角度看,解不等式
相当于求抛物线.
在双曲线
下方的点的横坐标的取值范围.
(1)观察图1,可知两个图象的交点坐标为______ ,所以
的解为______.
【类比探究】受此启发,小蒙尝试解不等式
经过分析,小蒙发现需要借助函数
和函数 的图象来求解.
(2)请先完成上面的填空,再在图2中画出相应的函数图象,写出不等式
的解集并说明理由.
【拓展应用】小蒙想借助函数图象进一步研究不等式,于是尝试解不等式组
并进行了一些准备,如图3所示.
(3)请根据小蒙的思路分析,直接写出该不等式组的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f41789f4b8b6666cb435a92cabf7f56.png)
如图1,在平面直角坐标系中,分别画出函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd14cc1a3f03fa2c1df2a8f12cfb298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb5c7e6458a6730c7cb4099f1c50a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd14cc1a3f03fa2c1df2a8f12cfb298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
(1)观察图1,可知两个图象的交点坐标为______ ,所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb5c7e6458a6730c7cb4099f1c50a33.png)
【类比探究】受此启发,小蒙尝试解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982000bf40412aa81303f64b23a06148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e11d5bff57e56ce82c2339f2d71ce.png)
(2)请先完成上面的填空,再在图2中画出相应的函数图象,写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87313c31e83d86824ac25c1438ded0.png)
【拓展应用】小蒙想借助函数图象进一步研究不等式,于是尝试解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c63ca258e722a9c4c04cb5ec547e194.png)
(3)请根据小蒙的思路分析,直接写出该不等式组的解集.
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9 . 如图,在平面直角坐标系
中,直线
与
轴交于点
,与
轴交于点
,与反比例函数
在第二象限内交于点
.
的值;
(2)平行于
轴的动直线
与直线
反比例函数
分别交于点
,
(点
在点
左侧),若以
,
,
,
为顶点的四边形为平行四边形,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d256036d52b784b8c68bfc8db69d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6938eeb65411eeac15e140cf1db99773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a79eb9eb7f3245005f6a5e327a0222a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188661fa5cb9c41d964428ed8ade52c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)平行于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2024-05-21更新
|
109次组卷
|
2卷引用:2024年山东省聊城市九年级中考数学二模试题
名校
10 . 如图,在平面直角坐标系中,反比例函数
的图象与一次函数
的图象交于A,B两点, 其中A点坐标为
.
(2)根据图象直接写出不等式
的解集;
(3)若点C在y轴上,且满足
的面积为10,求点C的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f84a68769233fab11137663d2a103c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b4d87e5352d9322009e4d62b797c1e.png)
(2)根据图象直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62bc9f00c7bb6394eab3df6966cd1d54.png)
(3)若点C在y轴上,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-05-20更新
|
658次组卷
|
4卷引用:2024年山东省淄博市临淄区中考一模数学试题
2024年山东省淄博市临淄区中考一模数学试题2024年山东省淄博市高青县第二中学中考数学模拟试题2024年贵州省黔东南州九年级数学中考模拟测试卷(一)(已下线)数学(新疆卷)-学易金卷:2024年中考考前押题密卷