1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dee95aef86154934dbb08a8b4d22ef6.png)
(1)当
,证明:
;
(2)若函数
在
上恰有一个极值,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dee95aef86154934dbb08a8b4d22ef6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67abf5793bcee37d634b2487cae2cd08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1798ba947bed1f794c123106b8d5519.png)
您最近一年使用:0次
名校
解题方法
2 . 如图,在直三棱柱
中,
,
,
为
的中点,
在
上且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/b157c9ce-e116-4e48-a1b7-ea78ae079e27.png?resizew=162)
(1)求证:平面
⊥平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836454922ab97fd8e2603eb05d19eed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c463237282ea0b1de74061768775b3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39be02b5846e2c736810e8fca44b70e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5355da4203567ad145f6fabd226405a0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/b157c9ce-e116-4e48-a1b7-ea78ae079e27.png?resizew=162)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc775691cd03e1abed66100c942eb3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36838a7cc38c40d89b50a5e3b34d586e.png)
您最近一年使用:0次
2021-09-16更新
|
493次组卷
|
3卷引用:重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题
3 . 已知数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e731ec0b69b219f11630625ddb8a1efe.png)
(1)求
;
(2)猜想数列
的通项公式,并用数学归纳法证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e731ec0b69b219f11630625ddb8a1efe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(2)猜想数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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4 . 如图的空间几何体中,四边形
为边长为2的正方形,
平面
,
,
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/29a8431e-299b-4777-8bcc-f0b3da880b1a.png?resizew=151)
(1)求证:平面
平面
;
(2)求平面
与平面
所成的锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99832ac03cb519ee68177a0eaf1da66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd6020b78ff385667b30088ecadeadd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1678d9d38493af70744fa92d02f44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86338536656046e93b53672ade9a78b3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/29a8431e-299b-4777-8bcc-f0b3da880b1a.png?resizew=151)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c5c9c94ee5e13beb8e7933c5531e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233015062824e26bf4b6a755c428dcae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2020-02-21更新
|
244次组卷
|
4卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(文)数学试题
5 . 已知函数
.
(1)若
有两个不同的极值点
,
,求实数
的取值范围;
(2)在(1)的条件下,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c4c965c5bbfad90aabbf9d2db40066.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的条件下,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba33f1be4a5f51d7abdc5185392d79a2.png)
您最近一年使用:0次
2020-04-06更新
|
1302次组卷
|
8卷引用:重庆市合川实验中学2021届高三上学期第一次月考数学(理)试题
名校
解题方法
6 . 已知椭圆
离心率为
,四个顶点构成的四边形的面积是4.
(1)求椭圆C的标准方程;
(2)若直线
与椭圆C交于P,Q均在第一象限,直线OP,OQ的斜率分别为
,
,且
(其中O为坐标原点).证明:直线l的斜率k为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆C的标准方程;
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e9c9c51562c58d7347a4c7f17f47b1.png)
您最近一年使用:0次
2020-02-21更新
|
439次组卷
|
3卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(理)数学试题
2019届重庆市合川瑞山中学高三下学期模拟训练(理)数学试题2019届湖北省宜昌市第一中学高三模拟训练(三)数学(理)试题(已下线)第2章《圆锥曲线与方程》章节复习巩固(基础练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)
名校
解题方法
7 . 如图,点P是菱形ABCD所在平面外一点,且
平面ABCD,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/24cb8be5-10a8-4bd7-87c7-33f06a60d6c9.png?resizew=135)
(1)求证:平面
平面PCE;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202bdcbdc02deb43a861c501afafa55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e1636ee301839f397198139b72e5b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/24cb8be5-10a8-4bd7-87c7-33f06a60d6c9.png?resizew=135)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a67a4e9289c99c6ea017e928120988a.png)
您最近一年使用:0次
2020-02-21更新
|
332次组卷
|
2卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(理)数学试题
名校
8 . 如图,在多面体
中,四边形
为矩形,
,
均为等边三角形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/eeeb1d7a-c216-4d68-b6fd-1e6e1da4f04f.png?resizew=209)
(1)过
作截面与线段
交于点
,使得
平面
,试确定点
的位置,并予以证明;
(2)在(1)的条件下,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00d05c60999eff91345a545fb57e9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f36d315245b63a811d5c6f348c17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7437ea643773900c3381003569e306a1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/eeeb1d7a-c216-4d68-b6fd-1e6e1da4f04f.png?resizew=209)
(1)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(2)在(1)的条件下,求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
您最近一年使用:0次
2020-02-21更新
|
264次组卷
|
5卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(文)数学试题
9 . ![](https://img.xkw.com/dksih/QBM/2010/3/9/1569629968228352/1569630080516096/STEM/bfecfa42183648e4ae0424e228c71a78.png?resizew=265)
如图,在直三棱柱
中,
、
分别是
、
的中点,点
在
上,
.
求证:(1)EF∥平面ABC;
(2)平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b698101d0a83239ce4e1d9afbb61f17.png)
平面
.
![](https://img.xkw.com/dksih/QBM/2010/3/9/1569629968228352/1569630080516096/STEM/bfecfa42183648e4ae0424e228c71a78.png?resizew=265)
如图,在直三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6efa4395e52292ef2032b0b912133b0.png)
求证:(1)EF∥平面ABC;
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b698101d0a83239ce4e1d9afbb61f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
您最近一年使用:0次
2019-01-30更新
|
2720次组卷
|
14卷引用:重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题
重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题2009年普通高等学校招生全国统一考试数学试题(江苏卷)(已下线)2010年浙江省嘉兴一中高二上学期10月月考数学卷(已下线)黑龙江省牡丹江一中10-11学年高一下学期期末考试数学(理)(已下线)2012-2013学年广东惠州实验中学高二上学期期中考试文科数学试卷2015届江苏省扬州中学高三12月检测文科数学试卷2016-2017学年江苏徐州睢宁县古邳中学高二上第一次月考数学试卷江苏省睢宁县古邳中学2017-2018学年高二上学期第一次月考数学试题【全国百强校】吉林省吉林市第一中学2018-2019学年高一下学期开学考试数学试题湖南省常德市淮阳中学2019-2020学年高一上学期期中数学试题吉林省辽源市田家炳高级中学等友好学校2019-2020学年高一下学期期末考试数学(理)试题云南省保山第九中学2019-2020学年高二下学期期末考试数学(文)试题江西省抚州市金溪县第一中学2021-2022学年高二上学期第一次月考数学(文)试题(已下线)模块十 最后一课 考前易错提醒
12-13高二下·重庆·期中
名校
10 . 在如图所示的多面体
中,
平面
,
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/2013/6/13/1571241869262848/1571241874481152/STEM/7bf16474f0734920a70b540ff1b90151.png?resizew=289)
(1)请在线段
上找到一点
,使得直线
平面
,并证明;
(2)求平面
与平面
所成锐二面角的大小;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa3ae891394a1a9834a8cbea5884791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://img.xkw.com/dksih/QBM/2013/6/13/1571241869262848/1571241874481152/STEM/7bf16474f0734920a70b540ff1b90151.png?resizew=289)
(1)请在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8ccd4181f956f6e0140bf0ab8f0716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次