1 . 若圆C与抛物线
在公共点B处有相同的切线,且C与y轴切于
的焦点A,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1d7cc83e49b858c7771754fbc83ea0.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e5cab50c76f67a62a75cfe02f08f73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1d7cc83e49b858c7771754fbc83ea0.png)
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2 . 过点
作圆
(
为参数,且
)的两条切线分别切圆
于点
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4d8171374a7134e3d25b91fc4b198a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395ae88d64693e119da73abe23109bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d08f0ab6e573253450e03427e13db1.png)
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3 . 以原点O为圆心作单位圆O,直线l与直线
平行,且过点
,P为直线l上一动点,过点P作直线
与圆O相切于点B,则
面积的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c006bb47a9fd56e7fe8687f834d82dd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd0b06c5bab3bb7c9671fd5d8b19e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3877c5dd48bc7311f79a38de74a6cab4.png)
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2023高三·全国·专题练习
4 . 在平面直角坐标系中,圆O的圆心为原点,半径长为1;圆C的圆心为点
,半径长为2.点P是圆O上的动点,过P点作圆C的两条切线,切点分别为M点和N点,求线段MN长度的最小值为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d7d75a66dd9e14c866e39e82074d70.png)
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名校
5 . 已知圆C上的任意一点到两个定点
,
的距离之比为
,则圆C的方程是___________ ;在直线
上存在点P满足:过P作圆C的切线,切点分别为M,N,且四边形PMCN的面积为
,则实数m的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c77a42750684cb6157c2c7fb9422a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692265c4b64c721bd3e567b8af832b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
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2022-11-26更新
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179次组卷
|
5卷引用:河南省部分名校2022-2023学年高二上学期11月联考数学试题(A卷)