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1 . 某班数学课代表给全班同学们出了一道证明题.甲和丁均说自己不会证明;乙说:丙会证明;丙说:丁会证明.已知四名同学中只有一人会证明此题,且只有一人说了真话.据此可以判定能证明此题的人是( )
A.甲 | B.乙 | C.丙 | D.丁 |
您最近一年使用:0次
2021-05-06更新
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1029次组卷
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10卷引用:江苏省淮安市2021届高三下学期4月第二次适应性考试数学试题
江苏省淮安市2021届高三下学期4月第二次适应性考试数学试题(已下线)第2章 章末复习课(基础练)-2020-2021学年高二数学(理)十分钟同步课堂专练(人教A版选修2-2)陕西省咸阳市2021届高三五月数学信息专递试题安徽省安庆市第十中学2020-2021学年高二下学期5月月考文科数学试题(已下线)第2章 章末复习课(基础练)-2020-2021学年高二数学(文)十分钟同步课堂专练(人教A版选修1-2)陕西省西安市第八十九中学2021-2022学年高二上学期第二次月考理科数学试题江苏省泰州市泰兴市第一高级中学2022届高三下学期阶段测试二数学试题新疆昌吉州行知学校2021-2022学年高二下学期期末考试数学(文)试题广西钦州市第四中学2021-2022学年高二下学期3月月考数学试题(理科)青海省海南藏族自治州高级中学2022-2023学年高二下学期期末考试数学(文)试题
2 . 已知正数
,
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82420de2db1b6b74bd447158cebae854.png)
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解题方法
3 . 如图,四棱锥
中,
平面
,
,
,
,
点在线段
上,且满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/b4393973-2231-49a5-b23b-49682653e1d4.png?resizew=172)
(1)求证:
;
(2)求证:
平面
.
![](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/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e839ac941e8bf536ff35a12e56c7a400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d27e537079a3ede6ebff6d3968394a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/b4393973-2231-49a5-b23b-49682653e1d4.png?resizew=172)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c583493109d50c9e4634c05e9042a9f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb304d905125170bebfada27e7ed8960.png)
您最近一年使用:0次
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4 . 如图,在多面体
中,底面
为矩形,侧面
为梯形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/f43f42a5-4cb4-4a9c-a8da-6ebcadb35367.png?resizew=179)
(1)求证:
;
(2)求证:
平面
.
![](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/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15cd53fe7b73365723ce4789bb259d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8225b3e02f5a9f1fd5a09ada650cb78.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/f43f42a5-4cb4-4a9c-a8da-6ebcadb35367.png?resizew=179)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ccd5c41c921836b50f8e18abfdc5df3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d32e76582bf550593fdef53e081225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
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2019-04-18更新
|
4939次组卷
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6卷引用:江苏省淮安市盱眙县马坝高级中学2019-2020学年高三上学期期中数学(理)试题
5 . 已知函数
是奇函数.
求实数a的值;
判断函数
在区间
上的单调性并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2a166f70abe61ed58ee9294d8ee785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead849c0dc4a82285808a7e081ad75c.png)
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6 . 已知函数
,![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/5c7cd7397a794eda83c7b6618ff8d18c.png)
(1)证明
为奇函数,并在
上为增函数;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围
(3)设
,当
时,
,求
的最大值
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/0833e8e6f8b745e2867c983a33b2a020.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/5c7cd7397a794eda83c7b6618ff8d18c.png)
(1)证明
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/7898718e627144bda3c9b6f730f2081b.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/c90b3c5016f3474b82e1beee2202f352.png)
(2)若关于
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/1ce81ea6b3404c7c99dece8758730ff2.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/91d055542c834503acb6b698eaf060a9.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/546d63f604984ca982b7dc826720a4dd.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/354546d41d31472abee42afcbab028ef.png)
(3)设
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/31bd7f07213a4248bad741a53198b94b.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/25d3ff3124cb47bfbb97312ddebc7e6f.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/6b9119f0d53b466a98014e97e8bbb748.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405511680/STEM/e8fca60b23444023984d7c03302499c9.png)
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9-10高二下·辽宁大连·阶段练习
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7 . 已知x、y、z均为正数,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c58a821cdf96d3417a73f85b9ea996.png)
您最近一年使用:0次
2016-11-30更新
|
1577次组卷
|
8卷引用:2015届江苏省淮安市高三第五次模拟考试数学试卷
2015届江苏省淮安市高三第五次模拟考试数学试卷(已下线)2010年大连市第三十六中学高二下学期六月月考理科数学卷(已下线)2012-2013学年甘肃省兰州一中高二下学期期末考试理科数学试卷江苏省苏州市2018届高三暑假自主学习测试数学试题(已下线)2019年10月10日 利用基本不等式证明不等式-学易试题君之每日一题君2019-2020学年上学期高二数学人教版(必修5)(已下线)2019年10月10日《每日一题》必修5- 利用基本不等式证明不等式江苏省南通市海安高级中学2019-2020学年高三下学期3月线上考试数学试题江苏省苏州市2019-2020学年高三上学期期初调研数学试题
8 . 如图,四边形ABCD为正方形,PD⊥平面ABCD,
,AF⊥PC于点F,FE∥CD交PD于点E.
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405364224/STEM/aceeca94f69d446b83da50d5d5ad17be.png)
(1)证明:CF⊥平面ADF;
(2)若
,证明
平面
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405364224/STEM/fb681367a57f438daae9266277d68013.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405364224/STEM/aceeca94f69d446b83da50d5d5ad17be.png)
(1)证明:CF⊥平面ADF;
(2)若
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405364224/STEM/59271f2b16f9449dbcb40bee8c41c9c6.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405364224/STEM/fbc861c4cc424c6ab264eb28cf90a345.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572077399678976/1572077405364224/STEM/a2be31c6029c4da1b3c9a6b3d8e8acde.png)
您最近一年使用:0次
9 . 如图,在四棱锥
中,底面
是正方形,侧棱
底面
,
,
是
的中点.
(1)证明
平面
;
(2)证明:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba77c22664cbf2111ee2879bf944f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a34a1a0354e836d4c88eeb7d2589283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07cf478246d00cbffc6cd4dbee1eaffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a34a1a0354e836d4c88eeb7d2589283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77499408cec1e915abe3d778701061cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c59076e80b15755ef630fd5f40d1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcd98ee0037900264471b4baa7e46e1.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c069f6740616939bc241ad4fe27437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e70bb6806a13ed3f2d55420290914ee.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc68ac1ad3c8c44356b13c1ce1bf9dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f67f6fbf04545293ba77ca787eb22fd.png)
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570807514193920/1570807519600640/STEM/c30884b155da4d2982fa0e5456cb30de.png?resizew=241)
您最近一年使用:0次
2016-12-01更新
|
4287次组卷
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4卷引用:江苏省淮安市六所四星级中学2019-2020学年高一下学期联考数学试题
江苏省淮安市六所四星级中学2019-2020学年高一下学期联考数学试题(已下线)2011-2012学年福建省福州八中高一第一学期期末考试数学黑龙江省大庆中学2017-2018学年高二上学期开学考试数学试题甘肃省张掖市第二中学2020-2021学年高三上学期9月月考数学(文)试题