名校
1 . 直线
的倾斜角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acca774a2ec31cc93f1b288d0701f708.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知圆
:
,直线
:
(
),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfb84f31108bf596ba63e9fa510b293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd60627aab12263b050458cdeabf8f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
A.直线l恒过定点![]() |
B.当![]() ![]() ![]() |
C.直线![]() ![]() |
D.圆![]() ![]() |
您最近一年使用:0次
2024-01-27更新
|
885次组卷
|
4卷引用:吉林省普通高中G6教考联盟2023-2024学年高二上学期1月期末考试数学试题
名校
解题方法
3 . 如图,已知抛物线
经过点
,
是抛物线的焦点,以
为始边,
为终边的角
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/7d0a1c6c-9c81-4a7f-9212-50abd5c02dc2.png?resizew=118)
(1)求抛物线的标准方程;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c88fb6041c52d47c495cb4be352708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbd44d7c90a27479a52fd670df005cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bac87db382874f77ec5720a8023f9dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/7d0a1c6c-9c81-4a7f-9212-50abd5c02dc2.png?resizew=118)
(1)求抛物线的标准方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faac098e58968e51ce2aa41a3eb38d95.png)
您最近一年使用:0次
名校
解题方法
4 . 下列结论正确的是( )
A.![]() |
B.若圆心角为![]() ![]() ![]() |
C.若角![]() ![]() ![]() |
D.若角![]() ![]() |
您最近一年使用:0次
2024-01-26更新
|
458次组卷
|
2卷引用:吉林省普通高中G6教考联盟2023-2024学年高一上学期期末考试数学试题
名校
5 . 已知
是椭圆
的左焦点,第一象限内的点
在
上,直线
与
轴交于点
为坐标原点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3ceeab6bf04f0c65f43583b3661a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4411b37e8ed03b1841906af3bf912f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7375a1fda8639f2d368c52c5bb9d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-26更新
|
366次组卷
|
3卷引用:吉林省部分名校2023-2024学年高二上学期期末联合考试数学试题
名校
解题方法
6 . 椭圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
长轴长为
,左右焦点分别为
和
,
为椭圆
上一点,且
,
.
(1)求椭圆
的方程;
(2)过点
作直线交椭圆
于
,
两点,若点
,求证:直线
,
的斜率之和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434249d6640b0c1a712d215cf8b83d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5d4143ba3fcd34e7593cdba83f4e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff95584f02d812317d503c259f9f280.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1b1d74dab66cd83700d2b02d5eb965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d70b4a9d6ed047b88c5b1070fbdc1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d8e33929752b1cb4dd36ee9b98b45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
您最近一年使用:0次
2024-01-26更新
|
379次组卷
|
2卷引用:吉林省长春市第六中学2023-2024学年高二上学期1月期末考试数学试题
名校
解题方法
7 . 已知函数
,
(其中e为自然对数的底数),设m,n分别为
,
的零点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea58bd7aabdb9581b39aa53f12bece92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259ef9d3126b695f2b69c0657e475e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知椭圆
的右焦点为
,离心率
.
(1)求椭圆
的标准方程;
(2)经过椭圆
的左焦点
作倾斜角为
的直线
,直线
与椭圆相交于
两点,求线段
的长;
(3)设点
是椭圆
上不同于椭圆顶点的三点,点
与点
关于原点
对称,设直线
的斜率分别为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)经过椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9369aed2d8309af46ac3eaffb9cce537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133f0de37f64f79a482c95ee80bf9d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
您最近一年使用:0次
名校
9 . 在
的展开式中,所有二项式系数的和是16,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0e4310be1d91f12125192977c657b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,若函数
有4个零点,且其4个零点
,
,
,
成等差数列,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be881595dd75c73cb21dc45c101719c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b946a8ec829a341aa6806a3eb0b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bae3f86149cf716f7bfee75ed5ccfe2.png)
A.函数![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次