解题方法
1 . 已知圆
:
,直线
:
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ee745282e1b47f06074eac4bfa70a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5e1737bf9f2bb816a087336a61717a.png)
A.直线![]() ![]() |
B.圆![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.直线![]() ![]() ![]() ![]() |
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解题方法
2 . 已知双曲线
的左顶点为A,若E上存在点P,使得P与A关于直线
对称,则E的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1753fe7999eb69ff952b668e924d2a41.png)
A.![]() | B.![]() | C.2 | D.3 |
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3 . 对于任意实数
,直线
恒过定点A,且点
,则直线
的一个方向向量为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a21202032f745bedc89e4bcf0079812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
4 . 已知双曲线
的方程为
,
,
分别为双曲线
的左、右焦点,过
且与x轴垂直的直线交双曲线
于M,N两点,又
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6d297a8cd187e8ab1556b721ae3b35.png)
A.双曲线![]() ![]() |
B.双曲线![]() |
C.双曲线![]() |
D.双曲线![]() ![]() ![]() |
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名校
解题方法
5 . 在平面直角坐标系中,定义
、
两点间的直角距离为
,如图,
是圆
当
时的一段弧,
是
与
轴的交点,将
依次以原点
为中心逆时针旋转
五次,得到由六段圆弧构成的曲线.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49f3cfe85c4ae1d7ecb30075848e87.png)
_______ .若点
为曲线上任一点,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bea37e25ba5e11e5e2c428996f74e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978ce4ca52b9c915574d50d64ce348b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ff12eb6cba0100f0dadb847c90ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49f3cfe85c4ae1d7ecb30075848e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4298f459599feb1a5ed4dce607b8e3d.png)
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716842768228352/2718602291453952/STEM/3903e3564b0e40039bf873d70ad1e715.png?resizew=166)
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2021-05-11更新
|
983次组卷
|
5卷引用:福建省南平市2021届高三二模数学试题
福建省南平市2021届高三二模数学试题湖北省武汉市第二中学2021-2022学年高三上学期暑期模拟数学试题(已下线)专题14 参数方程与极坐标方程-备战2022年高考数学(文)母题题源解密(全国乙卷)(已下线)专题27 直线与圆的综合应用-1北京市大兴区2023-2024学年高二上学期期中检测数学试题
6 . 过点
任作一直线交抛物线
于
两点,过
两点分别作抛物线的切线
.
(1)记
的交点
的轨迹为
,求
的方程;
(2)设
与直线
交于点
(异于点
),且
,
.问
是否为定值?若为定值,请求出定值.若不为定值,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48eced443f5b969c6be558849c7bd8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3041e623462970cd4d5b7536561834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d04032c72148b5c1a515af9f5aca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32705e629d8b9187b53efeee6605af15.png)
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