1 . 已知一次函数
与反比例函数
的图象相交于
两点.
(1)当
时,比较
与
的大小;
(2)在
轴上找一点
,使得
的周长最小,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715416015a9634f5eafe3d399987d837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0234bc3bc76deffa1ee8c961b9eca2e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60fc82aa4e1c146e7e08883e83558d96.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2 . 已知关于
的一元二次方程
有两个相等的实数根且实数
互不相等,则下列结论一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5940bef671c4b5bf70735e787f608f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知关于
的一元一次不等式组
的解集为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5797f00c8b6473b405352b7f9d18669b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c5c3e63c6114fb238e73202e02af08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 某专卖店销售一种工业设备,3月份的售价2万元/台,共销售60台.根据市场销售经验知:当这种设备售价每增加0.1万元/台时,每月就会少售出1台.4月份该专卖店想将销售额提高
,这种设备售价应定价为多少万元/台?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ab5c1b86983380e75e0d12ddc92705.png)
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5 . 已知
,且
,则与x最接近的整数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983be9daf91e18f1cf60c859c1877fc8.png)
A.4 | B.3 | C.2 | D.1 |
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6 . 已知抛物线
交x轴于
,
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/c9bfb006-0827-4b39-9b0e-0873015fee88.png?resizew=162)
(1)m的值为______ ;
(2)已知点
,
,P,Q均在抛物线上,且
,
时,均有
,则a的取值范围是______ ;
(3)有点
,抛物线交y轴于点C,过B,D作直线
交y轴于E.M为线段
上一点,当
时,则M的横坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ec8e5d8786ef56d44bf535551a09f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c48e6f4858150888d0995a0cb8e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b02568a2d65f35225e190b68e8a5ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428c2271836a8e28ccf66dd06738c273.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/c9bfb006-0827-4b39-9b0e-0873015fee88.png?resizew=162)
(1)m的值为
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545046110e0a7d4df4f1cfcdf4fe40ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53861973282c55a43feb1ab034a55f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958d4cb5c007188bda41687ee1286e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d70d194e7bb8b86fc5db975d19192c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1acc35371a619b9ae9beb0de6e966e1.png)
(3)有点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c198d5e7103bd6f1f1c9ee02b8b04b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d76f8f6c9f0432958ff23ea87364c7.png)
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名校
7 . 讨论关于x的方程
根的情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8fb17f989f30c89e83bc794a78a0014.png)
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名校
8 . 解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5941182c731ebf45318b4d205aaee3d8.png)
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名校
解题方法
9 . 已知m为已知常数,且
,如图对称轴为直线
的二次函数
的图象与x轴交于A、B两点,与y轴交于C点,B点的坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/9612b1ad-5370-4c8b-a6e6-35e5ff9d401d.png?resizew=190)
(1)求此二次函数的解析式;
(2)在直线
上找一点P,使
的周长最小,并求出点P的坐标;
(3)现定义一个新运算,
,且
,当
时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f5f4ded389ecab2fe3b3cc44977993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff32d26c8d44f5fb4813a19c1030a9f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/9612b1ad-5370-4c8b-a6e6-35e5ff9d401d.png?resizew=190)
(1)求此二次函数的解析式;
(2)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
(3)现定义一个新运算,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9267ac6f792b25bf6c6ab56b78d7299a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4796d015853d5db00e1f2567da9ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d2343c81fcad8f99284b6c464dd280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd00f42a62756926ff484cabc368ef9c.png)
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10 . 若关于x的不等式组
的整数解共有4个,则m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5d84d762c4de419ea1e19e321db25a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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