名校
1 . 已知集合
,
,则集合
的元素个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5357edd89519e27bac5a1da4954806d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaaa16acf5063153fd6ed2c15822b432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2024-06-03更新
|
1534次组卷
|
2卷引用:江苏省南京市2024届高三第二次模拟考试数学试题
名校
解题方法
2 . 在
中,角
的对边分别为
已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b640d16b04c89cdd8e853783fc3236c8.png)
.
(1)求角
的大小;
(2)若
,求
的面积;
(3)若
为BC的中点,求AD的长.
![](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/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b640d16b04c89cdd8e853783fc3236c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a82bc457574fe3939a95bcef6bc4f6f.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0ebcdb0bb85d94c3834d9c910dc56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be394823f4d9c69053e3186db87b6251.png)
您最近一年使用:0次
2024-06-03更新
|
1732次组卷
|
4卷引用:江苏省南京市建邺高级中学2022-2023学年高一下学期期末数学试题
(已下线)江苏省南京市建邺高级中学2022-2023学年高一下学期期末数学试题陕西省咸阳市实验中学2023-2024学年高一下学期第二次月考数学试卷重庆市乌江新高考协作体2023-2024学年高一下学期5月期中数学试题浙江省绍兴市第一中学2024届高三下学期5月模拟数学试题
名校
解题方法
3 . 已知四棱锥
中,底面ABCD是梯形,
,
,
,
,
,M,N分别是PD,BC的中点.求证:
平面PBC;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da35bb9885f79a36532f21139f9f99d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c383691e8d740830a865b12d66f7633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf271d6475f5305bc922677b4cfe28c.png)
您最近一年使用:0次
2024-05-30更新
|
1831次组卷
|
3卷引用:江苏省南京市江宁高级中学2023-2024学年高一下学期第二次调研测试数学试题
江苏省南京市江宁高级中学2023-2024学年高一下学期第二次调研测试数学试题江苏省南通市2023-2024学年高一下学期5月质量监测数学试题(已下线)6.5.1直线与平面垂直-【帮课堂】(北师大版2019必修第二册)
名校
4 . 已知向量
,
则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf863607285211cdc5903d08ac193b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a7f0f769015d2752819b132781e9c6.png)
A.若![]() ![]() |
B.存在![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-05-30更新
|
606次组卷
|
2卷引用:江苏省南京市江宁高级中学2023-2024学年高一下学期第二次调研测试数学试题
5 . 如图,在棱长为1的正方体
中,
为平面
内一动点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/30/eb9c8e1e-d848-442a-a012-e482c7a7cdce.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/30/eb9c8e1e-d848-442a-a012-e482c7a7cdce.png?resizew=150)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.对于给定的点![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
6 . 已知函数
.
(1)当
时,求
的单调区间;
(2)当
时,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1996957bc581e5d03c0f733233e9956.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b269c11e6f9dbbf1a1efcda572f13ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c8abdaf1a883ca6d2fed14f8341696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在斜三棱柱
中,底面
是边长为2的正三角形,
是以
为斜边的等腰直角三角形,点
为
中点,
,点
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/29/6c33970c-923b-473c-961e-f357ed2982e8.png?resizew=160)
(1)求证:
平面
;
(2)求二面角
的余弦值;
(3)过
作与
垂直的平面
,平面
交直线
于点
,求线段
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bbed3815301752db129a7435d2e247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e34108e9e683f275c5838b0a8bf9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/29/6c33970c-923b-473c-961e-f357ed2982e8.png?resizew=160)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea67423ce6963c0972867306169f17a.png)
(3)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
您最近一年使用:0次
名校
8 . 在
的展开式中,第4项的二项式系数与第3项的二项式系数的比为2∶1.
(1)求n的值;
(2)求展开式中含
的项的二项式系数;(用数字作答)
(3)求值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85fddb568952c12b07fbfaf2dcfba38.png)
(1)求n的值;
(2)求展开式中含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3336c8ed5361c10c37300e41e03f9f2f.png)
(3)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1fe2a983a43140bb3d2ef7fe297026.png)
您最近一年使用:0次
9 . 设等差数列
的公差为
,数列
的前
项和为
,若
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4184597c94d1077842234d5f6c1d00a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7aa11e54f42c1dd643c6820ee54d8f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d949040e7584edef509f9b54153bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
10 . 如图所示数阵,第1行为1,从第2行开始,每一行的左右两端都为1,而除1之外的每个数为前一行其上方相邻两个数之和再加1.则第12行的第3个数为______ ;当
时,前n行的所有数之和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/30/1160234f-edf4-434b-810b-905fb61b5f57.png?resizew=171)
您最近一年使用:0次