名校
1 . 下列命题中:①若
,则
;②若
,则
一定相交于一条直线,设为
,且
;③经过三个点有且只有一个平面④若
,则
.正确命题的个数( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff69a33090ab7fc6b2ae8fd68a8b2665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9934483d3f6ceb7fd9f6ea8a2747940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284e1b5a721f0399e46909343a4b0668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3d519b7168f5324c972e77f720bc85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d7c50d20fb7d2593f14ad304290856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1dd133d58073910a0bf45dfaf970130.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
名校
2 . 三棱锥P﹣ABC的高为PH,若三条侧棱与底面所成的角相等,则H为△ABC的( )
A.内心 | B.外心 | C.垂心 | D.重心 |
您最近一年使用:0次
名校
解题方法
3 . 已知平面的一条斜线
和它在平面内的射影的夹角是
,且平面内的直线
和斜线
在平面内的射影的夹角是
,则直线
所成的角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-09-04更新
|
127次组卷
|
2卷引用:广西桂林市桂林中学2020-2021学年高二下学期期中数学(理)试题
名校
解题方法
4 . 已知正四棱柱
中,
,
为
的中点,则异面直线
与
所形成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c5282bc1ea20767a6c092c22c761ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-09-04更新
|
467次组卷
|
3卷引用:广西桂林市桂林中学2020-2021学年高二下学期期中数学(理)试题
广西桂林市桂林中学2020-2021学年高二下学期期中数学(理)试题福建省厦门海沧实验中学2023-2024学年高二上学期10月阶段性检测数学试题(已下线)专题 1.2空间向量:求距离与角度13种题型归类(1)
名校
5 . 设条件甲:直四棱柱
中,棱长都相等;条件乙:直四棱柱
是正方体,那么甲是乙的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.充分必要条件 | B.充分非必要条件 |
C.必要非充分条件 | D.既非充分也非必要条件 |
您最近一年使用:0次
2023-09-04更新
|
331次组卷
|
4卷引用:广西桂林市桂林中学2020-2021学年高二下学期期中数学(理)试题
广西桂林市桂林中学2020-2021学年高二下学期期中数学(理)试题广东省深圳市第二高级中学2023-2024学年高二上学期第一学段考试数学试题(已下线)模块一 专题5 基本立体图形和直观图 讲(已下线)第八章 本章综合--归纳本章考点【第一课】“上好三节课,做好三套题“高中数学素养晋级之路
名校
解题方法
6 . 如图,在正三棱柱
中,已知
,D在棱
上,且
,则
与平面
所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb08f6a798dc293f3d8de281190f65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知函数
.若
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbea50b9ee9088ba9c3b474a893fc52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55c9f1a79c0594ee6ade90d9718aeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4b5d261044c6f58deba8de7c0e1e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea94f45eb564de3c17de05b6747c079b.png)
您最近一年使用:0次
解题方法
8 . 已知数列
的前n项和为
,且满足
,
.
(1)数列
是否为等差数列?并证明你的结论;
(2)求
;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350327eeb86b5dc0cddeada77ad58c53.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f22150aec8c338c7bda4153ddae3e7.png)
您最近一年使用:0次
9 . 平面内动点
与两定点
连线的斜率之积等于
,若点
的轨迹为曲线
,过点
作斜率不为零的直线
交曲线
于点
.
(1)求曲线
的方程;
(2)求证:
;
(3)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9c11cc36320090d0aaf0c621a63b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dd75003428d5b4071aabbaa4d11cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c828839ec7daffe75d61c24298afe7a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
您最近一年使用:0次
名校
解题方法
10 . 已知等差数列
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccf71e2b479367c99bd6c1728b73cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.png)
A.11 | B.12 | C.13 | D.14 |
您最近一年使用:0次
2023-09-04更新
|
342次组卷
|
2卷引用:广西桂林市桂林中学2020-2021学年高二下学期期中数学(文)试题