名校
解题方法
1 . 如图,已知
平面
,
为矩形,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/cfcb4474-ac28-4ea8-88fb-9cb5c734d479.png?resizew=156)
(1)证明:
;
(2)若
,求证:平面
平面
.
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbb19cb4eb2d7f3207559eb07355ba2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/cfcb4474-ac28-4ea8-88fb-9cb5c734d479.png?resizew=156)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f479d987bc7abd828c64f9dc745836ab.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0498b9374bee2169d323c3bd8d2d23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cae065ec545de896871ff619390438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
您最近一年使用:0次
2022-12-20更新
|
289次组卷
|
3卷引用:吉林省四平市第一高级中学2019-2020学年高二上学期第一次月考数学(理)试卷
名校
2 . 不等式证明:
(1)已知
,求证:
;
(2)已知a,b,c均为正实数,且
,求证:
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada798eeba5bd19d497bfd0741afd00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbc2278547879e9246de7e749a774d7.png)
(2)已知a,b,c均为正实数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ee79d588c459ae4ca749e7b12d844b.png)
您最近一年使用:0次
3 . 用综合法或分析法证明:
(1)如果
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da537e5284dc9786845fca39a9ca913.png)
(2)求证
.
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da537e5284dc9786845fca39a9ca913.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c19d94ff48082c1cd213c82c99abf0.png)
您最近一年使用:0次
2020-08-17更新
|
384次组卷
|
3卷引用:湖北省黄冈市黄梅国际育才高级中学2018-2019学年高二下学期3月月考数学(文)试题
4 . 证明:已知函数
是二次函数,且
,
.
(1)求
的解析式;
(2)求证
在区间
上是减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b178d7a6c9e31c319407708df1cbce42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2647808a86e7d83b56d7efcdac8a33f.png)
(1)求
![](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/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
您最近一年使用:0次
5 . 用分析法证明命题“已知
求证:
”最后要具备的等式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7d3c17c5cc1f7e6d2be555ec8043c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55400dc679817933f98c1d8ced0ff34f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 如图,在直角梯形
中,
,
,
,
,
,点
在
上,且
,将
沿
折起,使得平面
平面
(如图),
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/272baebc-ff8b-4f4c-b334-3e84383a11ee.png?resizew=330)
(1)求证:
平面
;
(2)在线段
上是否存在点
,使得
平面
?若存在,求
的值,并加以证明;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6037bba27008abc96a6dba99753549ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40560ea08d6cd8c1d4d9661ee6faaa3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377b5f7197e5bd1afeea4d931307956a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/272baebc-ff8b-4f4c-b334-3e84383a11ee.png?resizew=330)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cf187bc2ede965870b90757b495f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d46cc6946821619e937d12d30dc83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747978ec67fee6ee9eb07d02b80987d7.png)
您最近一年使用:0次
2019-10-30更新
|
714次组卷
|
3卷引用:吉林省延边二中2019-2020学年高一上学期12月月考数学试题
名校
7 . ①已知
,求证
,用反证法证明时,可假设
;②设
,
,
都是正数,用反证法证明三个数
,
,
至少有一个不小于2时,可假设
,
,
都大于2,以下说法正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937559aeec06323cde8861b17024fc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be100015cff38b6dfba5080fa94d128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe44dcfbe7130c760acae3703469dd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf9f16560a4344b5f1de3db84df6b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed959a0f8ae5c44c9f2b644bf5738e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497bbc637b3d3175be3870dcf7a898b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf9f16560a4344b5f1de3db84df6b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed959a0f8ae5c44c9f2b644bf5738e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497bbc637b3d3175be3870dcf7a898b9.png)
A.①与②的假设都错误 | B.①与②的假设都正确 |
C.①的假设正确,②的假设错误 | D.①的假设错误,②的假设正确 |
您最近一年使用:0次
2018-05-04更新
|
404次组卷
|
5卷引用:吉林省辽源市东辽县第一高级中学2019-2020学年高二5月考试数学(理)试题
名校
8 . 如图,在平面四边形
中,
,
,
,
,
.
(1)证明:设
、
的面积分别为
,求证:
;
(2)求
和
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d719799bcc3d752881d6a049785de689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aedf65d7d930fdb972d4802c0dea8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6651d5001a305f6cd288804425afa174.png)
(1)证明:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd13ef233bdd904044123a5baa201d3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/20/dcdc4120-fd75-4a16-9b3a-bfdb49e42ee3.png?resizew=149)
您最近一年使用:0次
2017-07-26更新
|
35次组卷
|
2卷引用:吉林省吉林大学附属中学2017届高三第六次摸底考试数学(文)试题
10-11高一上·江苏南通·期中
9 . 已知函数
.
(1)判断并证明
的奇偶性;
(2)求证:
;
(3)已知a,b∈(-1,1),且
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319537d01e112733378c7db0c9f97c07.png)
(1)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db48ca9fe7c14d17493fa4a4333aa273.png)
(3)已知a,b∈(-1,1),且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c083bdb6c8f679ae479e3b0c405abff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79b135e345c4ec69529c86a7726f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3bf2007903adc64d089a054c2284a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4889b4b46d3cd6dd677d200bdf4914fe.png)
您最近一年使用:0次
2016-12-01更新
|
1255次组卷
|
5卷引用:吉林省洮南市第一中学2020-2021学年高一上学期第三次月考数学(文)试题
吉林省洮南市第一中学2020-2021学年高一上学期第三次月考数学(文)试题(已下线)2010年江苏省南通市高一上学期期中考试数学试卷(已下线)2011-2012学年江苏省扬州中学高二下学期期中考试文科数学试卷2015-2016学年广东广州执信中学高一上学期期中数学试卷人教A版(2019) 必修第一册 必杀技 第四章 专题3指数函数、对数函数