名校
解题方法
1 . 已知直线
与直线
垂直,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b6e44dd054b54f89e7c237eb1428da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d6e08526a91f8dfd160e7da2f92a3a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-16更新
|
417次组卷
|
4卷引用:2024届河南省名校联盟考前模拟大联考三模数学试题
名校
解题方法
2 . 已知直线
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0ee78e90e941029f5d5e8f0334c0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-06-08更新
|
670次组卷
|
2卷引用:2024届河南省新乡市高三第三次模拟考试数学试卷
解题方法
3 . 已知直线
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e0c39d11670e335b9165b268f335bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
解题方法
4 . 已知椭圆
的左、右顶点分别是
,椭圆
的焦距是2,
(异于
)是椭圆
上的动点,直线
与
的斜率之积为
.
(1)求椭圆
的标准方程;
(2)
分别是椭圆
的左、右焦点,
是
内切圆的圆心,试问平面上是否存在定点
,使得
为定值?若存在,求出该定值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.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/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc48974114e23f5a801843710c7ae21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350a38070bdc27207946be17d5f70223.png)
您最近一年使用:0次
5 . 在平面直角坐标系中,点
的坐标分别为
,以
为圆心作一个半径为4的圆,点
是圆上一动点,线段
的重直平分线与直线
相交于点
.
(1)求
的轨迹
的方程;
(2)已知
,点
是轨迹
在第一象限内的一点,
为
的中点,若直线
的斜率为
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9985fd5d82e56eacce44d825e940598f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7559e9bb2b995b216353f339518629aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b95463a97c60db3250cb641bf6523d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bf4166dd077b45308536dc771d4358.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2375a27ead9549550676d4e6a2b47243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bf4166dd077b45308536dc771d4358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84fb85c78522640bcaf889f89ad89de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
名校
6 . 设
分别为椭圆
的左、右焦点,
为椭圆上第一象限内任意一点,
分别表示直线
的斜率,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125ee4f2187dddbb2ffcf45724eb55c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a65570380695c4078c66b1f2128ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d82387e48eafb286785a21a8d4150f.png)
A.存在点![]() ![]() | B.存在点![]() ![]() |
C.存在点![]() ![]() | D.存在点![]() ![]() |
您最近一年使用:0次
2024-04-13更新
|
737次组卷
|
3卷引用:河南省部分重点中学2024届高三下学期三月质量检测联考数学试题
解题方法
7 . 过点
且倾斜角为
的直线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2595e01e8751886a27862cce04e2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b3f7acba9caba420015e2f6a4fa785.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知直线
与
垂直,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90bfae7e462030c9df4e4cb46d824da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f735b7e9703796b83c5873669d2d096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.2 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
解题方法
10 . 费马原理是几何光学中的一条重要定理,由此定理可以推导出圆锥曲线的一些性质,例如,若点
是双曲线
(
为
的两个焦点)上的一点,则
在点
处的切线平分
.已知双曲线
的左、右焦点分别为
,直线
为
在其上一点
处的切线,则下列结论中正确的是( )
![](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/4d2a97987f71835f519b462f5b8f5957.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/62180fb2b68724b7b0f4f8337496c12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6030294837c740b4fe4bb00162137e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d58e6b21b696adb73c986b0b2cdb6a.png)
A.![]() ![]() |
B.若点![]() ![]() ![]() ![]() ![]() |
C.直线![]() ![]() |
D.延长![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-03-27更新
|
536次组卷
|
2卷引用:河南省濮阳市2024届高三下学期第一次模拟考试数学试题