名校
解题方法
1 . 圆
称为椭圆
的蒙日圆.已知椭圆
:
的离心率为
,
的蒙日圆方程为
.
(1)求
的方程;
(2)若
为
的左焦点,过
上的一点
作
的切线
,
与
的蒙日圆交于
,
两点,过
作直线
与
交于
,
两点,且
,证明:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833bf16f0161259e9d973dbdd5c6b18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49137970108f50350a3211aa0281faaf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/5963abe8f421bd99a2aaa94831a951e9.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/2e9b0f5f44abbc6544a2f672b025b013.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb43ee1cddcc3e1773260a7ac1dc3fea.png)
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2023-12-16更新
|
272次组卷
|
5卷引用:四川省雅安市2023-2024学年高二上学期12月联考数学试题
名校
解题方法
2 . 有关圆
与圆
的下列哪些结论是正确的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd3cffcca7f4d0912701679a6ad5b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e34b5f4bb0cd0be5f103696ef1c7793.png)
A.圆![]() ![]() |
B.若![]() ![]() ![]() |
C.两圆外切 |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-10-14更新
|
999次组卷
|
5卷引用:四川省雅安市天立教育集团2023-2024学年高二上学期期中数学试题
四川省雅安市天立教育集团2023-2024学年高二上学期期中数学试题江苏省淮安市涟水县第一中学2023-2024学年高二上学期第一次月考数学试题宁夏回族自治区银川一中2023-2024学年高二上学期期中考试数学试题甘肃省武威市古浪县第五中学2023-2024学年高二上学期期中考试数学试卷(已下线)难关必刷03圆的综合问题-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)
名校
3 . 关于函数
有以下论述:①函数
在
处的切线方程是
;②
是函数极大值;③
没有最大值,但有最小值;④若关于
的方程
有三个不同实根,则实数
的取值范围是
.其中正确的有_________ (写出所有正确论述的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc64d0b0ba2ab0b7fce2778ff40acfec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5c2b08bedd792ab5afc87e52c36eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351fed1ece211a3c6bad311b5e4419f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af5a6252d97b4f051403a5a660a4441.png)
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