解题方法
1 . 在四棱锥
中,
平面
为
的中点,
.
(1)求三棱锥
的体积
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc832b837e79c9186ec73d818ff2931f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d11e19c84255eb0431415c2dec553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2942390d02efaff57473d103f7950a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/6a5d84d0-1a93-48e8-bd11-7cabb8c0c763.png?resizew=160)
(1)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d492a2248463e0c0199a25d0f76d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d4071b2a24713dfe275d0eac914045.png)
您最近一年使用:0次
2 . 如图,已知正方形
和
边长都为2,且平面
平面
,
是
的中点,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/4a498903-662c-4893-86c5-bb5ad1a936af.png?resizew=175)
(1)求点
到平面
的距离;
(2)求证:
平面
;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a406f24b5131eb7da9127750319e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a406f24b5131eb7da9127750319e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/4a498903-662c-4893-86c5-bb5ad1a936af.png?resizew=175)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301925a3de5a772742909eed4109ec73.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94270844f197d524bf1da4f1385befd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301925a3de5a772742909eed4109ec73.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335deb37356b3eabfdc74061f433c4b7.png)
您最近一年使用:0次
3 . 如图,在直角梯形
中,
,
,且
,现以
为一边向形外作正方形
,然后沿边
将正方形
翻折,使平面
与平面
互相垂直.
(1)求证:平面
平面
;
(2)求点
到平面
的距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/ed66e110-9d08-4051-bf6b-19e3241c7fa6.png?resizew=383)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3547a914468b082d8d8741b974a03190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a814b70236a108be5d6e7ff271fe92.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)解不等式
;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54a0c07847bb5a711881d4ac2bac957.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5e026a565c24617edc36f82fd85e63.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94ae11e65a5c125d804bf537c419efc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fccad0a93acd2f36bc78d8a8f3e04e5b.png)
您最近一年使用:0次
2023-12-15更新
|
53次组卷
|
2卷引用:贵州省黔东南自治州镇远县文德民族中学校2022届高三上学期期末数学(理)试题
5 . 已知函数
.
(1)求
的极值;
(2)已知
,且
,用函数
性质证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafb94c1205634b96a4042a7cb7facc5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84624ddb3f05c1d41e6fc24db2a4ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895a921249ca11c61d751228920ea2ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bf3b4facf23aa0582a20822a4fbafd.png)
您最近一年使用:0次
解题方法
6 . 如图甲,在矩形
中,
,
是
的中点,将
沿直线
翻折后得到四棱锥
,如图乙,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/6ee5635c-587a-431c-a7e2-a9991b9d1a58.png?resizew=451)
(1)求证:
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58da37b3d1dbd2fee75089d5ba28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efeadd146662b5d8fe14a424138ef751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aa6fd52f3933cbded9ce8c880b4a10.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/6ee5635c-587a-431c-a7e2-a9991b9d1a58.png?resizew=451)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d5ee2d6fcbcad17b69997ef0741d2d.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba759550d6c10ffd2922b936888f3973.png)
您最近一年使用:0次
解题方法
7 . 已知函数
,函数
的单调递减区间为
,且函数
的极小值为0.
(1)求函数
的解析式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae06c488100e31570805778b1d322e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42905b1f3b6415509e354731a671970a.png)
您最近一年使用:0次
解题方法
8 . 如图,在四棱锥
中,侧面
是正三角形,且与底面
垂直,已知底面
是菱形,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/77e2ca8e-b809-4782-966c-ef5b7ee70557.png?resizew=178)
(1)求证:
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03977f376d19e1ba2e50881e511e3e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/77e2ca8e-b809-4782-966c-ef5b7ee70557.png?resizew=178)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44f4120c94cb7176dc31fcac387b32e.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe67036b4671b5d2a5c55b48c4d3bb9.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,
.
(1)当
时,求证:
;
(2)若
是函数
的导函数,且
在定义域
内恒成立,求整数a的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c959ecfabe4d3d8f429f8c96467eb29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5175dc08a253b3fd0e306d015bbae502.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6292948411620a2c340542afedf898cd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5465c14a0e2e8705ee70cd4e88283a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次
名校
解题方法
10 . 如图,在四棱锥
中,底面ABCD是矩形,
,
,
底面ABCD,
,E为PB中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/2e29a3f7-484e-45e2-9478-10d9703fdd6b.png?resizew=162)
(1)求证:
;
(2)求平面EAD与平面PCD所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/2e29a3f7-484e-45e2-9478-10d9703fdd6b.png?resizew=162)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4486d52b6e410fd7b60428121d96cef.png)
(2)求平面EAD与平面PCD所成锐二面角的余弦值.
您最近一年使用:0次
2023-12-11更新
|
1051次组卷
|
3卷引用:贵州省黔东南自治州镇远县文德民族中学校2022届高三上学期期末数学(理)试题