设点
为直线
上的点,过点
作圆
的两条切线,切点分别为
,当四边形
的面积取得最小值时,此时直线
的方程为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9450684ca4c5f6ee21f226f5f40abe2.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a074b71885da9e0b1891964e05423ae.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283b0cef5d644b8dceb910ce2c76f21c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
23-24高二上·山东德州·阶段练习 查看更多[2]
山东省德州市夏津县第一中学2023-2024学年高二上学期10月月考数学试题(已下线)专题17 直线与圆的位置关系9种常见考法归类- 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)
更新时间:2023-10-17 10:22:19
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【推荐1】过点
作圆
的两条切线,切点分别为
,则直线
的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐2】已知点
是直线
上的一点,过点
作圆
的切线,切点分别为
、
,则直线
恒过定点________ ,四边形
面积的最小值________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407a6cd11bfd80e2eee4900f4e7881bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b33328faae2d2d4921900e97424de5.png)
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【推荐1】设
是圆
与圆
在第一象限的交点,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c051c2459ca7e2edd8ece9e565ec4b09.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74855d26df545e0dedc920ee0972d7fe.png)
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【推荐2】已知圆
的直径
,点
满足
.记点
的轨迹为
,设
与
交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c84a09595eabd6ae21a2e8faa7465c.png)
__________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
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【推荐1】求圆
关于点
对称的圆的方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc052bb706e13d2fb8a1db07af6f317a.png)
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【推荐2】圆
与曲线
相交于
,
,
,
四点,
为坐标原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2274256b19e06dd3ffeff0ccdf9a0f4.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904c680a988af1fe8ec1af95c1c991c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a21d82dbfa17147978dd2da6b1b2c9.png)
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