名校
解题方法
1 . 如图,四棱锥P-ABCD的底面ABCD是菱形,PA⊥AB,PA⊥AD,且E、F分别是AC、PB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/69dda575-4b41-45c5-935a-6aa6fca009ce.png?resizew=160)
(1)证明:EF∥平面PCD;
(2)求证:平面PBD⊥平面PAC.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/69dda575-4b41-45c5-935a-6aa6fca009ce.png?resizew=160)
(1)证明:EF∥平面PCD;
(2)求证:平面PBD⊥平面PAC.
您最近一年使用:0次
2022-04-26更新
|
1074次组卷
|
3卷引用:贵州省遵义市桐梓县荣兴高级中学2023-2024学年高二上学期第三次月考数学试题
解题方法
2 . 如图所示,四棱锥
的底面是正方形,每条侧棱的长都是底面边长的
倍.
(1)求证:
;
(2)若Р是侧棱
的中点,
,求C到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfcf34539673d516eb9b259951a81ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/9/7eb6dc2c-628d-4040-8824-bd3aa2f42b53.png?resizew=170)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f41a0ba7ae61e391bf5e2e508fa410.png)
(2)若Р是侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc11d97443cab1e6f480428d8e5c0962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
3 . 如图,在四棱锥
中,
平面
,四边形
是平行四边形,且
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/42040a85-2835-4b26-b0cf-1c72b6d8ca86.png?resizew=157)
(1)证明:
平面
.
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.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/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46373b749211e2eb67d1b653b6087856.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/42040a85-2835-4b26-b0cf-1c72b6d8ca86.png?resizew=157)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
.
(1)求曲线
在点
处的切线方程,
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903f1f0c9ff9bc834d16dfed6359f411.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c069903b3b06877ffa9d6db7fbc5c57.png)
您最近一年使用:0次
2023-12-19更新
|
1853次组卷
|
12卷引用:贵州省遵义市2024届高三上学期12月月考数学试题
贵州省遵义市2024届高三上学期12月月考数学试题湖北省部分学校2024届高三上学期12月联考数学试题陕西省商洛市2024届高三一模数学(文)试题海南省2024届高三上学期一轮复习调研考试(12月联考)数学试题陕西省商洛市2024届高三一模数学(理)试题福建省部分学校2024届高三上学期12月月考数学试题山东省潍坊市昌乐第一中学2024届高三上学期12月月考数学试题(已下线)专题2-6 导数大题证明不等式归类-3河南省三门峡市2024届高三上学期第一次大练习数学试题(已下线)模块四 第五讲:利用导数证明不等式【练】广东省中山市桂山中学2023-2024学年高二下学期第一次段考检测数学试题陕西省西安市长安区第一中学2023-2024学年高二下学期期中考试数学试题
解题方法
5 . 已知函数
.
(1)若
,在下列网格纸中作出函数
的大致图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/52f032ba-d901-4623-afc6-d30a1a8707d5.png?resizew=163)
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7734ad3d2feaff4113a6c6f75f9238.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/52f032ba-d901-4623-afc6-d30a1a8707d5.png?resizew=163)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c7a6237240dee5ad184199b7a44787.png)
您最近一年使用:0次
6 . 已知多面体ABCDPQ如图所示,其中底面ABCD为菱形,对角线AC与BD交于点O,
,且P,Q在平面ABCD的同侧,
,AQ⊥平面ABCD.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/3/a2719bb7-b90e-4220-957f-5e7810f05775.png?resizew=170)
(1)求证:OP⊥平面BDQ;
(2)求直线BQ与平面DPQ所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030503438a3c37ab10a910433286c525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a46b39e5d45bd21bb1c8e6b32d82fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/3/a2719bb7-b90e-4220-957f-5e7810f05775.png?resizew=170)
(1)求证:OP⊥平面BDQ;
(2)求直线BQ与平面DPQ所成角的正弦值.
您最近一年使用:0次
名校
7 . 已知集合
的子集个数为
.
(1)求
的值;
(2)若
的三边长为
,证明:
为等边三角形的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ce22a79915802052a731ea4eb70a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8858e7b26a1860f4c4e0da7da33bbada.png)
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2023-10-13更新
|
136次组卷
|
8卷引用:贵州省遵义市2023-2024学年高一上学期10月月考数学试题
解题方法
8 . 已知数列
满足
,
.
(1)求证:数列
是等比数列;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57bfc1f8772f31748bfdc280d0712fc0.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1e3d15a14d5639a93c6468d19105ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
解题方法
9 . 已知正数a,b满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d34836cf6d21bcadd4f60793ba150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296a77a7ca3e70fba643654bf5a99a3b.png)
您最近一年使用:0次
10 . 已知函数
.
(1)求
的定义域;
(2)证明:
在区间
上存在最大值的充要条件是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a180c10c665550132ee35638d45bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639fa5eb321809f3dac2787aa9913b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588ed74756f1017a4b80ed1f705e466f.png)
您最近一年使用:0次
2023-09-05更新
|
215次组卷
|
4卷引用:贵州省遵义市凤冈县第二中学2024届高三上学期9月月考数学试题