名校
1 . 如图,在三棱柱
中,
,
,
,
,且
平面
.
(1)求证:
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778ae9823e8430d73d87c57fc47b185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e5a6afab22d5b53c1d8e87d58e8020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e32a859e1616f7a7e4202d58d030794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900e00a3609e6043af1034761d4d65f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/30/1210199c-cf93-4b54-8e86-eb4111aae0c6.png?resizew=150)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7870cee007535b979d35bc7feab75616.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513d1fb90e198a552a61d535187a2fe5.png)
您最近一年使用:0次
名校
2 . 如图,在四棱锥
中,已知底面
是正方形,
底面
,且
,
是棱
上动点.
平面
.
(2)线段
上是否存在点
,使二面角
的余弦值是
?若存在,求
的值;若不存在,请说明理由.
![](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/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f09bc4b22a549917d5cd3acccc1e014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5102c216393e133fa25dba98cd78535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a56f51a6312441f9f07daf7e62ff41.png)
您最近一年使用:0次
2023-05-12更新
|
1084次组卷
|
6卷引用:黄金卷03(理科)
(已下线)黄金卷03(理科)(已下线)空间向量专题:利用空间向量解决4类动点探究问题-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)(已下线)专题1.5 空间向量的应用【十大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)广东省佛山市第一中学2022-2023学年高二下学期第一次教学质量检测数学试题广西河池市大化瑶族自治县高级中学2024届高三上学期第一次(开学)考试数学试题(已下线)模块二 专题4 空间向量中探究、最值问题(苏教版高二)
名校
解题方法
3 . 如图所示,在直四棱柱
中,
,
,且
,
,
,M是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/1e9a151a-aa36-426a-a735-a87d1a7a2848.png?resizew=142)
(1)证明
;
(2)求点B到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5408641691fd27f6dd8cf0ab2043ad4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d262480ffb55b7617f44b63f130c154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf90bac174f02c4552e56df4d910bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/1e9a151a-aa36-426a-a735-a87d1a7a2848.png?resizew=142)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb2309d4f3e1154a2b929dff6b5e949.png)
(2)求点B到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67d36d29ac86703724d98da567659ec.png)
您最近一年使用:0次
2022-07-09更新
|
6456次组卷
|
9卷引用:黄金卷03(文科)
名校
解题方法
4 . 已知函数
.
(1)若曲线
在
处的切线与直线
平行,求函数
的极值;
(2)已知
,若
恒成立.求证:对任意正整数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e918c5dc8ce08ca7ab57975f97b8ff.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f706b63aa45669c057b3828ca158bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f706b63aa45669c057b3828ca158bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed1d3af049f7b77a6f309ed25f9455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63636377ff6909f4975ee9f458e11005.png)
您最近一年使用:0次
2023-11-08更新
|
464次组卷
|
5卷引用:黄金卷03(理科)
(已下线)黄金卷03(理科)(已下线)专题07 函数与导数常考压轴解答题(练习)河北省张家口市张垣联盟2024届高三上学期11月月考数学试题江苏省盐城市实验高级中学2024届高三上学期第6次质量检测数学试题河北省衡水市武邑中学2024届高三上学期期中数学试题