1 . 在平面直角坐标系
中,已知圆
:
与直线
交于
,
两点,过
,
分别作圆
的切线
,
.若
与
交于点
,且
为线段
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7be93039a4e6805e757ecc2308d06c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0accaaa66de4dfd9ed8257fa942c2cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
2 . 设
是同一平面上的两个区域,点
,点
两点间距离的最小值叫做区域
间的距离,记作
.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7fb0990b4f03bdc3ab069eee2f0657.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9996ec4a66a3bfa55154dbca1a4fb112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8409da55f617c7bdee0f9a19aa6d2792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d7224242ab75080dfb394a39ebf7f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a43a8c7efc4377dd4e753abec8f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da9d94557de61d1caaaf54338aae000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7fb0990b4f03bdc3ab069eee2f0657.png)
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3 . 已知两个定点
是坐标系原点,
轴于点
是线段
上任意一点,
轴于点
于点
与
相交于点
,则点
与点
之间的距离的最大值和最小值的和等于_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a12b3ab4ef56755e53ae3b9bd1dd52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b45db8dd8768994af51206565379fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ab3e9f17b2020538343506e7c2b75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8f1243f51b36c405e461705dd1d555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75415035b34c75b7096953cf7771fc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c16f0cf7a7f1e82a6364ad66720e45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.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/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
解题方法
4 . 已知双曲线
:
,
是坐标原点,
,
分别是
的左、右焦点,点
是
上任意一点,过
作双曲线
渐近线的垂线,垂足为
,则
的长为________ ;过
作
角平分线的垂线,垂足为
,则
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c465114dc2665d74246240b1d4d26ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7272356beb98a7953a49651324cb6455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
您最近一年使用:0次
解题方法
5 . 已知直线l:
与圆M:
交于P,Q两点,且
为正三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23e68baa54f8c2e21961da1aba74ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949c6ff42e8e34d189ce468c763a712e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a9dabb53dc826019fc8b6ae6d940c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
名校
解题方法
6 . 已知双曲线
的左、右焦点分别为
,
,以
为圆心作与
的渐近线相切的圆,该圆与
的一个交点为
,若
为等腰三角形,则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05687b6aefc948f15977b85626ccfaf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa3b5062db7509599563383dd59d8825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-01-15更新
|
879次组卷
|
6卷引用:云南省昆明市2024届高三“三诊一模”摸底诊断测试数学试题
云南省昆明市2024届高三“三诊一模”摸底诊断测试数学试题云南省昆明市第八中学2023-2024学年特色高二下学期月考一数学试卷(已下线)3.2.2 双曲线的简单几何性质【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第3讲:圆锥曲线的定义以及应用【练】(已下线)云南省昆明市2024届高三“三诊一模”摸底诊断测试数学试题变式题11-16陕西省西安市长安区第一中学2023-2024学年高二下学期期中考试数学试题
名校
解题方法
7 . 设F是双曲线
的右焦点,O为坐标原点,过F作C的一条渐近线的垂线,垂足为M,若
的内切圆与x轴切于点N,且
,则C的离心率为____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22739043293c7c083a3d72750128307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596adce251f135fce4b2a94ffbb84b98.png)
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2023-12-22更新
|
428次组卷
|
4卷引用:云南省红河州2024届高三一模数学试题
云南省红河州2024届高三一模数学试题(已下线)江苏省无锡市2023-2024学年高二上学期期终教学质量调研测试数学试卷河北省衡水市安平中学2023-2024学年高二下学期开学考试数学试题 山东省青岛第五十八中学2023-2024学年高二上学期阶段性测试(第二次月考)数学试卷
名校
解题方法
8 . 已知点
是抛物线
的焦点,
为坐标原点,若以
为圆心,
为半径的圆与直线
相切,则抛物线
的方程为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69732c58d1c890f848ecf5736a2c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df13bfa18df4dd6c08aa16924f8c4241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2023-12-04更新
|
1375次组卷
|
4卷引用:云南省昆明市第一中学2024届高三新课标第四次一轮复习检测数学试题
云南省昆明市第一中学2024届高三新课标第四次一轮复习检测数学试题天津市咸水沽第一中学2023-2024学年高二上学期第二次月考(12月)数学试卷天津市和平区耀华中学2024届高三上学期期末数学试题(已下线)专题01圆锥曲线中的求方程问题(三大题型)
解题方法
9 . 在△ABC中,点
,
,
,则
的面积为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e951d6d2369e8da79a793a93a66a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f3cd3027a533dd07220f161c958602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff17a82049cfd9eaddea2842a446cc23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
10 . 已知点
分别是直线
与直线
上的点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15e25b0df1d134f8960234a81253ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa69074b2a2b52b3a8a3fe6a7266563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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