名校
1 . (1)
为实数,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f25298d03745e6d91799449ed9e96a.png)
(2)用分析法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f25298d03745e6d91799449ed9e96a.png)
(2)用分析法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b492c09f576ab6491af4848ce7ecec4.png)
您最近一年使用:0次
解题方法
2 . 如图所示,在四棱锥
,
面
,底面
为正方形.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/13a3b9d0-f1b7-429a-9a80-40f354843708.png?resizew=187)
(1)求证:
面
;
(2)已知
,在棱
上是否存在一点
,使
面
,如果存在请确定点
的位置,并写出证明过程;如果不存在,请说明理由.
![](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://img.xkw.com/dksih/QBM/editorImg/2023/1/28/13a3b9d0-f1b7-429a-9a80-40f354843708.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2023-01-06更新
|
1153次组卷
|
5卷引用:2022年7月辽宁省普通高中学业水平合格性考试数学试卷
2022年7月辽宁省普通高中学业水平合格性考试数学试卷(已下线)第6章:空间向量与立体几何 章末检测试卷-【题型分类归纳】2022-2023学年高二数学同步讲与练(苏教版2019选择性必修第二册)(已下线)模块三 专题4 空间向量与立体几何--拔高能力练(高二苏教)专题07B立体几何解答题(已下线)1.4.1 用空间向量研究直线、平面的位置关系【第三练】
名校
3 . 定义域和值域均为
的函数
满足:
,当
时,有
.
(1)判断函数
的奇偶性并证明;
(2)求证:
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bf92155f517ac547552711d7e1804d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
您最近一年使用:0次
2020-12-05更新
|
467次组卷
|
2卷引用:辽宁省抚顺市第一中学2020-2021学年高一上学期期中数学试题
解题方法
4 . 如图,
为半圆的直径,
为半圆上一点(不与
,
重合),
平面
,
,且
.
(1)求证:平面
平面
;
(2)试问线段
上是否存在一点
,使得
平面
,若存在,指出
的位置,并加以证明;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948b56278ae615d5735af61a80d21c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50def93936249a301780f9dfb48903af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/89b2902d-317c-4b01-8df6-cc40be38ecaa.png?resizew=150)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee188333e1fa99417aede565c6a4a136.png)
(2)试问线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f306ff6d237cd9d847aa109acf9333d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a718a85add40589bbf788876a755a88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
5 . 用反证法证明命题“已知
为非零实数,且
,
,求证
中至少有两个为正数”时,要做的假设是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e7ef804eeb23618fbf91ead47587f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80376a90437a9ef6049bbd389a4ff2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2018-06-07更新
|
734次组卷
|
9卷引用:辽宁省沈阳市东北育才学校2018-2019学年高二下学期期中考试数学(文)试题
辽宁省沈阳市东北育才学校2018-2019学年高二下学期期中考试数学(文)试题辽宁省沈阳市重点高中协作校2018-2019学年高二下学期期中数学文科试题【全国百强校】广东省中山市第一中学2017-2018学年高二下学期第二次段考数学(理)试题黑龙江省大庆市第十中学2017-2018学年高二下学期第二次月考数学(理)试卷【市级联考】湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题陕西省延安市吴起高级中学2019-2020学年高二下学期第一次质量检测数学(文)试题湖北省襄阳市2018-2019学年高二下学期期末数学(理)试题江西省上饶市横峰中学2019-2020学年高二下学期开学考试数学(文)试题广西浦北中学2020-2021学年高二3月月考数学(文)试题
6 . 如图所示,四边形ABCD为矩形,四边形ADEF为梯形,AD∥FE,∠AFE=60°,且平面ABCD⊥平面ADEF,AF=FE=AB=
AD=2,点G为AC的中点.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672376832/STEM/65411056a9f0470897393f08e23f925e.png)
(1)求证:EG∥平面ABF;
(2)求三棱锥B-AEG的体积;
(3)试判断平面BAE与平面DCE是否垂直?若垂直,请证明;若不垂直,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672376832/STEM/65411056a9f0470897393f08e23f925e.png)
(1)求证:EG∥平面ABF;
(2)求三棱锥B-AEG的体积;
(3)试判断平面BAE与平面DCE是否垂直?若垂直,请证明;若不垂直,请说明理由.
您最近一年使用:0次
7 . 已知如图,在直三棱柱ABC﹣A1B1C1中,AA1=AC,且AB⊥AC,M是面CC1的中点,N是BC的中点,点P在直线A1B1上.
![](https://img.xkw.com/dksih/QBM/2016/4/27/1572605640695808/1572605646790656/STEM/465544bbe958498293870b6ac70c3cfc.png)
(Ⅰ)若P为A1B1中点,求证:NP∥平面ACC1A1;
(Ⅱ)证明:PN⊥AM.
![](https://img.xkw.com/dksih/QBM/2016/4/27/1572605640695808/1572605646790656/STEM/465544bbe958498293870b6ac70c3cfc.png)
(Ⅰ)若P为A1B1中点,求证:NP∥平面ACC1A1;
(Ⅱ)证明:PN⊥AM.
您最近一年使用:0次
8 . 已知数列{an}的前n项和Sn,a1=﹣
,Sn+
(n≥2).
(1)计算S1,S2,S3,猜想Sn的表达式并用数学归纳法证明;
(2)设bn=
,数列的{bn}的前n项和为Tn,求证:Tn>﹣
.
![](https://img.xkw.com/dksih/QBM/2016/2/25/1572499600531456/1572499606601728/STEM/b8244919cde24479b7f81d9cd38e1dec.png)
![](https://img.xkw.com/dksih/QBM/2016/2/25/1572499600531456/1572499606601728/STEM/e81c4514dc144f75beac4c90b80cbe19.png)
(1)计算S1,S2,S3,猜想Sn的表达式并用数学归纳法证明;
(2)设bn=
![](https://img.xkw.com/dksih/QBM/2016/2/25/1572499600531456/1572499606601728/STEM/0f083b9f1d064e29a7bd5ae8bd842c82.png)
![](https://img.xkw.com/dksih/QBM/2016/2/25/1572499600531456/1572499606601728/STEM/48f8a4ad543445d5b478d0a447cdd06e.png)
您最近一年使用:0次
名校
9 . 如图,在四棱锥
中,平面
平面
,
是等边三角形,底面
是直角梯形,
,
,
.
为棱
的中点,求证:
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3753faebdc15d2d2e598d5ffc4487a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae72f5e5891249caa10c43224da89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a438393ddfc7da1804baf4932442bb35.png)
您最近一年使用:0次
解题方法
10 . 如图,在
中,D,F分别是BC,AC的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/07e3f3ee-fe8c-498f-8229-f738a3c5b2e7.png?resizew=141)
(1)用
分别表示向量
,
;
(2)求证:B,E,F三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5205b7ddc8166feaba03abc4b14127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/07e3f3ee-fe8c-498f-8229-f738a3c5b2e7.png?resizew=141)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7d3a0680780aaf4549c447fe8dfe9f.png)
(2)求证:B,E,F三点共线.
您最近一年使用:0次
2024-04-07更新
|
901次组卷
|
2卷引用:辽宁省抚顺市雷锋高级中学2023-2024学年高一下学期开学质量检测数学试卷