2024九年级下·全国·专题练习
1 . 如图,函数
与函数
的图象相交于
、
两点,
轴于点
,
轴于点
,则四边形
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2106783dfc565f66ee72a28338e9df.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/5862fb8bb359e111a5896f1389ac1126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/ae33911e41aa2f7004cc01e336f96bf0.png)
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2 . 如图,
,连接
,反比例函数
与
分别交于
,
两点.
(1)当点
的坐标为
时,反比例函数的表达式为______ .
(2)连接
,记
的面积为
.若
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb050884d86a19bb016b92e76f5bcbeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70cdc0cb79ae63cfda95f02037b42fe.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/8455657dde27aabe6adb7b188e031c11.png)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9dce430430d7a971c6508f76d62eda.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7ffcd1925a2b1259221c6a476152f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6d590f8c6cada1b3e2e8bf1bfacb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 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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4 . 如图,点A、C是反比例函数
的图象不同的两点,其中点A的横坐标为
,点C的纵坐标为
,点B为直线
与该反比例函数图象的另一交点,连接
和
,若
的面积为11,则m的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f6af4093ed9fe5f4f06b35ec0d695a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a576e9e2aebf8835bd15c7ec142f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0e862934781f3fec707516d7c31ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-05-21更新
|
200次组卷
|
3卷引用:湖南省株洲市醴陵市2023-2024学年九年级下学期期中数学试题
5 . 在平面直角坐标系
中,直线
与反比例函数
的图象交于
,
两点,与
轴交于点
.点
,点
在平面直角坐标系
内且满足
,连接
,
,
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85847e04644a5aca55f51424ca615a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2106783dfc565f66ee72a28338e9df.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518dfce0a9aab04171383586c5077146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816c01dbf10caf8d1910e240a0c8186a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f585fcdc31e07e3ac188a920ca1fb5cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a4e03119198187aea85e2387b82f7c.png)
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2024-05-20更新
|
69次组卷
|
2卷引用:2024年四川省成都市金堂县九年级中考二模数学试题
2024八年级下·浙江·专题练习
6 . 位于第一象限的点
在直线
上,过点
作
轴,交双曲线
于点
,若点
与点
关于
轴对称,则点
的坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ecbb94ac8dfe5fbc3bffad8c9da301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5294ca04521fa5de92d5ae032d7c54a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2024八年级下·江苏·专题练习
7 . 如图,正比例函数
与反比例函数
的图象相交于A、B两点,若点
的坐标为
,则点A的坐标是 ___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766bc42b7ead98238a339bb4dc42bb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14c6709d2a04863cacdee618b20613e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d914fca886d411979f1f9c08561a8e4.png)
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8 . 图中分别为反比例函数
与一次函数
的图象,已知交点坐标
,
,直接写出不等式
的解:___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1e95fb519f59c46f40e4ab44660073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5879e17a8f4e1223fac9e73f5a1ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d7316a08954b15737ab4fff295deeb.png)
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9 . 已知反比例函数
的图象与一次函数
的图象没有交点,请写出一个符合条件的k的整数值:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bd7e92dae1e0c2af6c33d5e202f544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
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10 . 如图,正比例函数
(
为常数且
)与反比例函数
(
常数且
)的图象交于
,
两点,过点
作
轴,连接
,
轴,若
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42408def74fe65cc8f2b41428df0cc46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.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/2146aec59309d1544ece1d028a17e394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f039f9bc9a11c801ae35be7de4115d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4066ed8dde07a00665ad52a5d15c7531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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