解题方法
1 . 已知椭圆
为左、右焦点,
为椭圆上一点,
,直线
经过点
.若点
关于
的对称点在线段
的延长线上,则
的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9ed1d7dbc01f6313f1e08ab8d4abee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7affd8a277498fd39b4a2a95d649f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc60a8ad3b5352eeb37a385c76f9f5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2 . 设函数
.
(1)当
时,求函数
的单调区间;
(2)若对定义域内任意的实数
,恒有
,求实数
的取值范围.(其中
是自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749dc66e9e0d6112b8fed4be89957827.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对定义域内任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5931095eb29d9d6b55ed9fa32a4ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594663e98b797cdc4efbd098cc15854f.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,三棱锥
中,
为线段
的中点.
平面
;
(2)设
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2b1992c9847cbbffd0da8c2d904bbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f5ba965420dfd5aa4da211682df096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8abf4ad9c679afd53a496a5a4866a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
2024-04-17更新
|
1071次组卷
|
2卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
名校
解题方法
4 . 已知抛物线
,点
在抛物线
上,且
在
轴上方,
和
在
轴下方(
在
左侧),
关于
轴对称,直线
交
轴于点
,延长线段
交
轴于点
,连接
.
(1)证明:
为定值(
为坐标原点);
(2)若点
的横坐标为
,且
,求
的内切圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ef98b19a4b2040d0a2674210a0d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8313752eac999238a713688ec5dd94ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3111eb07acf36e3c08e8f72789ffd220.png)
您最近一年使用:0次
2024-04-12更新
|
1339次组卷
|
3卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
名校
5 . 在
中,角
的对边分别为
边上的高等于
,则
的面积是__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a53e552116848849b76dab92d0ac.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da75f00cfe5ed9010f0afdba14372e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884a81f5d952786877f3515c8c8bc9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a53e552116848849b76dab92d0ac.png)
您最近一年使用:0次
2024-04-12更新
|
893次组卷
|
3卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
2024届浙江省丽水、湖州、衢州三地市二模数学试卷山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题(已下线)第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)
名校
6 . 已知直三棱柱
中,
且
,直线
与底面
所成角的正弦值为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
A.线段![]() ![]() ![]() |
B.线段![]() ![]() ![]() ![]() |
C.直三棱柱![]() ![]() |
D.点![]() ![]() ![]() |
您最近一年使用:0次
2024-04-12更新
|
1100次组卷
|
4卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
名校
解题方法
7 . 将函数
的图象向右平移
个单位后得到函数
的图象,若对满足
的
,有
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf2bf2e03dd6d33e03b69c5a318b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f025bb0112c19870e3e5d489ec03fcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec81fd3853b7e589a7cbc864d317b76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67e738a2fb40f0e46c8cf30344fa719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-12更新
|
1102次组卷
|
3卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
8 . 在正方形
中,设D是正方形
的内部的点构成的集合,
,则集合
表示的平面区域可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495fbf56b3023539b59f7bcee29acc70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495fbf56b3023539b59f7bcee29acc70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29c9c38e00576ac05e54a60f20a1833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ca8ded3695fce87372ebd717026c72.png)
A.四边形区域 | B.五边形区域 | C.六边形区域 | D.八边形区域 |
您最近一年使用:0次
9 . 设
是等比数列
的前n项和,q为
的公比,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() |
C.若![]() ![]() ![]() | D.若存在![]() ![]() ![]() |
您最近一年使用:0次
解题方法
10 . 在凸四边形
中,记
,四边形
的面积为S.已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/415a82fd-af88-4f7f-813a-45fc2d08bfc3.png?resizew=145)
(1)证明:
;
(2)设
,证明:
;
(3)若
,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd468d1a338d048553977858d3be4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c09208605fe5b1eeaa3ec91cc99367.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/415a82fd-af88-4f7f-813a-45fc2d08bfc3.png?resizew=145)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052a87cd17b9b729a3d4f1ee3f729a51.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575008e0b065f0d535251a041203f99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f880e1050a42a1f66344789919c80ca.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141a63648a434a1c35da467e1a9b7186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次