名校
1 . 如图,在四棱锥
中,底面
是一个边长为
的菱形,且
,侧面
是正三角形.
(1)求证:
;
(2)若平面
平面
,求平面
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b2f446cccf2652c090e99a75beb3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/6/7103efa8-d659-4eb7-b26b-141703d5ad5f.png?resizew=157)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c583493109d50c9e4634c05e9042a9f.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2023-07-28更新
|
460次组卷
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3卷引用:四川省宜宾市2022-2023学年高二下学期期末数学理科试题
四川省宜宾市2022-2023学年高二下学期期末数学理科试题黑龙江省大庆市肇州县第二中学2023-2024学年高二上学期12月月考数学试题(已下线)模块一 专题2 利用空间向量解决立体几何问题 (讲)2 期末终极研习室(2023-2024学年第一学期)高二人教A版
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2 . 已知四棱锥
(如图),四边形ABCD为正方形,面
面ABCD,
,M为AD中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/70a6dead-4a0c-44ff-849a-d76293a687eb.png?resizew=202)
(1)求证:
;
(2)求直线PC与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fcc62f1c0536d8f82409e8c8df7beb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/70a6dead-4a0c-44ff-849a-d76293a687eb.png?resizew=202)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789c9c79846abc6ba99cf3e575cdae6f.png)
(2)求直线PC与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03203dd5ac79dd8c6707e4340773359.png)
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2023-02-26更新
|
771次组卷
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6卷引用:四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(七)
四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(七)重庆市主城区七校2022-2023学年高二上学期期末数学试题云南省临沧市民族中学-2022-2023学年高二下学期期中数学试题陕西省西安市周至县第六中学2023-2024学年高二上学期10月月考数学试题云南省大理白族自治州大理市民族中学2023-2024学年高二上学期期中数学试题(已下线)通关练04 空间向量与立体几何大题9考点精练(41题)- 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
名校
解题方法
3 . 在
中,角A,B,C所对的边分别为a,b,c,已知
且
,
(1)证明:
为等腰三角形;
(2)设
的面积为
,若___________,求
的值.
在①
;②
两个选项中,选择一个填入上面空白处并求解
注:如果选择多个条件分别解答,按第一个解答计分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972e5ccbddccd59cd01d527de1df4732.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9738860054352b2eb02cb52151d6ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b102b99ebf1ef569a749de404b417027.png)
注:如果选择多个条件分别解答,按第一个解答计分
您最近一年使用:0次
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4 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468e5098138fed6e91e7e4791dfad0b1.png)
(1)若
,求证:
.
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468e5098138fed6e91e7e4791dfad0b1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875260a62b01e0c2bb92350fbadc8e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f6f7c4d82b6ddbf37d8459cb125bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b3adfb25816cf11f7760d868c29cb7.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
是定义在
上的奇函数,且
,若
时,有
.
(1)求证:
在
上为增函数;
(2)求不等式
的解集;
(3)若
对所有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291d664e9ea8088c35bb6b0550f18675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67f7b127acdedafc2e9a61bb9483a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca3e05cadfe77556641fcfb130e717f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291d664e9ea8088c35bb6b0550f18675.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c3596a700e789f9f8366c5a618a85.png)
(3)若
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615649533952/1572615655006208/STEM/c1ba12d9880240e1b1b56566ff478146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e62aebcf3cec0b67ca9e8b52fa7a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2016-12-04更新
|
622次组卷
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2卷引用:四川省雅安中学2021-2022学年高一下学期入学考试数学试题