2024·全国·模拟预测
解题方法
1 . 在平面直角坐标系
中,点
,动点
满足
,记动点
的轨迹为曲线
,点
在抛物线
上运动,过点
作曲线
的切线,切点分别为
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89309dd13ed64ab2bdd81241865113d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df5d30e4268a4b86a4e098e8cb57da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ac6188f40414f76bc754dee4a75809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
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2 . 已知点P为直线
上的动点,过P作圆
的两条切线,切点分别为A,B,若点M为圆
上的动点,则点M到直线AB的距离的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5428b040be21dcd503d350478c0a4773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56648a303009f944e1a9983c3f62c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c61a049177362a3448925efd065e5cf.png)
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23-24高三下·湖南长沙·阶段练习
名校
3 . 已知动点
在圆
上,动点Q在曲线
上.若对任意的
,
恒成立,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc96e9c6e90dd7041ca1b2f7c05a5bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cb8e1c087d8cf2fb4c37650133d0a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024高三下·全国·专题练习
解题方法
4 . P,Q分别为圆A:
,B:
上动点,则
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d04676a66ccb0463951f3934cc4e04b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ab9620cba0f2c277c8611df9bb4b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc493a92d8ee8b1f043071028f0c3c7.png)
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5 . 已知实数
满足:
,则
的最大值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b672aad8cac57acdc9654d95699c00c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a297ffd505ffe4f3a47a6c9543ecfb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3109dd281bf47a57bbfe18d9297ee2.png)
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6 . 已知A为圆C:
上的动点,B为圆E:
上的动点,P为直线
上的动点,则
的最大值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474f0068e21da52c260ca46bf8149563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b309986ab9da2e049812c871769924f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb58cef2ef9fd70d37d138c5ec445ba.png)
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名校
7 . 已知点
为直线
上的动点,平面内的动点
到两定点
,
的距离分别为
和
,且
,则点
和点
距离的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfabee203f841f2792a036c4bca54cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c9dcfd9f4c5298035870cb88a34169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc46f09a8c079e2916af98bb2f96f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f077fb4f73c2123538e19365d84748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b918aef3758d9e8f580ef52f07841515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3185e538b718098304ce17143f6e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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2024高二上·全国·专题练习
8 . 已知点
,
,点
是圆
上的动点,则
面积的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40630a669f4eedf626bc24851df10c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a305abc97c52f73c8849c7d0b1d3cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edafce95aade0386bc0d78f679dcf47.png)
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9 . 已知动点P,Q分别在圆
和曲线
上,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d42e42ee6f742ddedde374f0ddd452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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2024-02-14更新
|
1626次组卷
|
9卷引用:第5套 最新模拟重组精华卷5---模块一 各地期末考试精选汇编
(已下线)第5套 最新模拟重组精华卷5---模块一 各地期末考试精选汇编(已下线)广东省佛山市2024届高三教学质量检测(一)数学试题变式题12-16(已下线)专题8 导数中有关距离最值问题(每日一题)河南省信阳市新县高级中学2024届高三下学期3月适应性考试数学试题辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题广东省广州市广雅中学2024届高三下学期教学情况检测(三)数学试题山东省青岛市2024届高三上学期期末学业水平检测数学试题安徽省芜湖市安徽师大附中2023-2024学年高二下学期3月测试数学试题(已下线)黄金卷03(2024新题型)
10 . 在平面直角坐标系
中,已知
,动点
满足
,点
在直线
上,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a9e1eb4c3226489d1344321b10b7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc878a5fd7b508cf817cbb65d3940547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe3d2fcfceaa1a71094ec050cb007c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6601e68ea776bd3bb4b5783ff259977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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