名校
解题方法
1 . 已知抛物线
:
的焦点为
,过点F的直线
与抛物线
交于A,B两点,且直线
的斜率为
,则以线段
为直径的圆的方程为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2024-01-24更新
|
573次组卷
|
2卷引用:江苏省南京市金陵中学2024届高三上学期期末模拟数学试题
名校
解题方法
2 . 如图所示,四边形ABCD为圆柱ST的轴截面,点Р为圆弧BC上一点(点P异于B,C).
![](https://img.xkw.com/dksih/QBM/2024/1/12/3409766460112896/3409781363875840/STEM/33b6f8354020463fba0be06f8057252b.png?resizew=147)
(1)证明:平面PAB⊥平面PAC;
(2)若
,
(
),且二面角
的余弦值为
,求
的值.
![](https://img.xkw.com/dksih/QBM/2024/1/12/3409766460112896/3409781363875840/STEM/33b6f8354020463fba0be06f8057252b.png?resizew=147)
(1)证明:平面PAB⊥平面PAC;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8798f21caf1819d47db778d23fa57b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2590902f4edd2fa6b233ef54a31862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540ccd15435aa2d59e809d6a28fb2467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d80c787eefc6da2a49d25d2caeaa5fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64e76a4c1e5934f51cdca2ffbc8313f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-01-12更新
|
1137次组卷
|
5卷引用:江苏省苏州市相城区南京师大苏州实验学校2024届高三上学期期末模拟数学试题
名校
解题方法
3 . 在平行六面体
中,底面
为正方形,
,
,侧面
底面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/d599e48f-4857-42ee-b904-a8698642e509.png?resizew=171)
(1)求证:平面
平面
;
(2)求直线
和平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92105835f8075cb75dff244e908370b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c7761f955e6c49bde5f540a97509b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b5f967c7a8bfdb1dc8c6addcced5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/d599e48f-4857-42ee-b904-a8698642e509.png?resizew=171)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dee56b9f36ba8f76fe67b76383636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
您最近一年使用:0次
2024-01-12更新
|
1294次组卷
|
3卷引用:江苏省南京市、盐城市2024届高三上学期期末调研测试数学试题
名校
解题方法
4 . 已知直线l与椭圆
在第二象限交于
,
两点,
与
轴,
轴分别交于
,
两点(
在椭圆外),若
,则
的倾斜角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def6b1847098dd39d653c77786cb4eba.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbc88687b7cb71577f5622eef66aab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-12更新
|
1818次组卷
|
4卷引用:江苏省南京市、盐城市2024届高三上学期期末调研测试数学试题
名校
解题方法
5 . 双曲线C:
(
)的左,右焦点分别为
,
,过
的直线l与双曲线的右支相交于A,B两点,
的内切圆圆心的横坐标为1,则双曲线C的离心率为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1cf2ae8e2ae1bbd27e0223eb4f0665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.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/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
A.![]() | B.![]() | C.2 | D.3 |
您最近一年使用:0次
2024-02-11更新
|
301次组卷
|
2卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高三上学期期末模拟数学试题3
名校
解题方法
6 . 椭圆
的离心率为
,且经过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd86f94dec7de4d01c63a43ed6744cb.png)
(1)求椭圆方程
(2)点A为椭圆的上顶点,过点
的直线l交椭圆于P,Q两点,直线AP,AQ分别交x轴于点M,N,若
,求直线l的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd86f94dec7de4d01c63a43ed6744cb.png)
(1)求椭圆方程
(2)点A为椭圆的上顶点,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e30645f36e8628b9e25d53598d5174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dbb5fae7677efea8ea5ea5cdb369b1.png)
您最近一年使用:0次
2024-01-19更新
|
407次组卷
|
2卷引用:江苏省无锡市南菁高级中学2024届高三上学期期末模拟数学试题
名校
7 . 在平面直角坐标系xOy中,动点P到y轴的距离比点P到点
的距离小
,动点P的轨迹为W.
(1)求W的方程;
(2)过曲线W上一点A(1,y0)作两条互相垂直的直线分别交曲线W在
轴右侧部分于B,C两点,过点A作AD⊥BC,交BC于点D,若点Q的坐标为(0,-1),求DQ长度的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de44146e961f5828e0a6cb6488b0772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(1)求W的方程;
(2)过曲线W上一点A(1,y0)作两条互相垂直的直线分别交曲线W在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
名校
8 . 已知两个不同的平面
,两条不同的直线
,
,
,则“
,
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2a947e3fdc214d40a7d3f54679a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e076b91a9178217532e11c496400e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542a1572078188c8fbe82ebddf8af3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb74d1dd9a5c29da15e6cdaae435af86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.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
9 . 已知函数,则“
为奇函数”是“
”的( )
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分又不必要条件 |
您最近一年使用:0次
解题方法
10 . 已知椭圆E:
,点
和点
在椭圆E上.
(1)求椭圆E的方程;
(2)设P是椭圆上一点(异于C,D),直线
与x轴分别交于M,N两点.证明:在x轴上存在两点A,B,使得
·
是定值,并求此定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64196fcc78c3d4e076339b262ad91dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c359428c771c67617872618f54c9930f.png)
(1)求椭圆E的方程;
(2)设P是椭圆上一点(异于C,D),直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e7344dca1e40bf072371ddd5640111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42518891f8d7c97b5fb700de3440257b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c75706042f99400e482b44fa8566d33.png)
您最近一年使用:0次
2024-01-06更新
|
384次组卷
|
3卷引用:江苏省2024届高三上学期期末迎考数学试题