已知m,
,
,记直线
与直线
的交点为P,点Q是圆C:
上的一点,若PQ与C相切,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db2c39601a998aeba8f76419fb30c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad8fd1a3be7dbff94c1e585cb05c1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac35e70d31f4bde3340e7c93e3cc6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c25b4d3207ab7c0bc74255ebb9a86f.png)
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2024·广东茂名·模拟预测 查看更多[4]
广东省茂名市高2024届高三下学期高考模拟数学试题广东省茂名市2024届高三下学期第二次综合测试数学试题(已下线)第3套 新高考全真模拟卷(三模重组)(已下线)第4题 直线与圆相切的最值问题(压轴小题)
更新时间:2024-05-28 12:20:47
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解题方法
【推荐1】已知
是定义在
上的增函数,函数
的图象关于点
对称,若不等式
的解集为区间
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be344d1925b25e44f3f8b34d2c193ee.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74649f8d6b61550a2aa8c72eba449a52.png)
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【推荐2】已知直线
与直线
相交于点
,则
到直线
的距离的取值集合是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1252726b579cc9f2f1291379916118f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4c0bba34a5960a354bf249699e7b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8846bb4afc7ea919accea45f0edffb4.png)
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【推荐1】设抛物线
的准线为
,定点
,过准线
上任意一点
作抛物线的切线
,
为切点,过原点O作
,垂足为H.则线段MH长的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】已知平面向量
,
,
满足
,
,
且
,若对每一个确定的向量
,记
的最小值为
,则当
变化时,
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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【推荐1】已知圆
:
,圆
:
,
,
分别是圆
,
上的动员.若动点
在直线
:
上,动点
在直线
:
上,记线段
的中点为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a1a9410da8e3e67a8472aa5829d298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331a133d2fff3d6e402f25143167fba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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【推荐2】已知直线
与x轴相交于点A,过直线l上的动点P作圆
的两条切线,切点分别为C,D两点,记M是
的中点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2924070a023138483fbbbf0ccaa73b7.png)
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