1 . 在平面直角坐标系中,直线
交曲线
于A、B两点,交x轴于点C,过点A作
轴于点D,且
,连接BD.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/add631ea-2585-4890-9d86-c47bcc8081d0.png?resizew=152)
(1)若A点的坐标为
,求线段AB的长;
(2)若
,且
的面积为3,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1133fb905c01a6866c2e98e91d35d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d3a0273d1f3046dfad2086d0df56c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90966e8334b3288f4fd3589a6ec45d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/add631ea-2585-4890-9d86-c47bcc8081d0.png?resizew=152)
(1)若A点的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedaa50ecdc072fae79a33763780f52c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fc4043b2b7fbb5a0608d504629b206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb961bd7db3adb76af2d4cedb611bd7.png)
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2 . 已知关于
的方程
有两个不等实根,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa0e4be2f90a3f18a167aa1232a64e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 解下列关于x、y、z的方程组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd00923d5a8e5670674429cce415b98.png)
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4 . 已知二次函数
(a为常数).
(1)当
,
时,求
的值;
(2)当
时,二次函数
的最小值为
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822e1d5acaa60803c97eec89a903183d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7f8363ae7e8fb0020856303ad61514.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a12a30935c79ae769818043a496f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822e1d5acaa60803c97eec89a903183d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
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5 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b505fd057dfde79afea34d6e3cf51934.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbf2c7235cf128ea6555846c228a242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b505fd057dfde79afea34d6e3cf51934.png)
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解题方法
6 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80e586fd8a2e7230b5f38698876ea6c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f831406d57184df539baf843ee434f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80e586fd8a2e7230b5f38698876ea6c.png)
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7 . 在实数范围内分解因式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b08d4d3c2d9254b057956721f52a30e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b08d4d3c2d9254b057956721f52a30e.png)
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8 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0943a0e66c9350a2edf62c7d21cde805.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0943a0e66c9350a2edf62c7d21cde805.png)
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9 . 若关于x的不等式组
有且仅有四个正整数解,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8462066ad77f3b45fc01504b1412deaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 已知实数a、b满足
,
,且
.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b78b609b621c9c5887c3f87f0063db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b267cbdff4c3c50f324d35ab1c9453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025149f1f486cf574955c4b6fe520fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2175f05ecd8ec4ace41e04d1182b0f7.png)
A.![]() | B.![]() | C.4 | D.![]() |
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