名校
1 . 已知x,y,
,且
,
,
,则a,b,c三个数( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a89495c19be4f58ee3f60940f9765f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73160ba992c8e92144c316873d5f013e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995d738253b972c0f9dc65a85bb93173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d3ba84113b42a016efb37c64090a76.png)
A.都小于![]() | B.至少有一个不小于![]() |
C.都大于![]() | D.至少有一个不大于![]() |
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2022-06-21更新
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5卷引用:河南省郑州市2021-2022学年高二下学期期末考试数学(文科)试题
2 . (1)已知x>0,y>0,
,求证:
.
(2)a,b,
,求证:
,
,
不能都大于1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128294be1f10b83df30ad60d4c696224.png)
(2)a,b,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c415b871cbdc3215c1eacf1ed11dae6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15cd3a09a5b2b7caebab7dd96852533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8d46fedbb81f3db10b826257b88912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e78bb8432a969c5d89bdd628501fd56.png)
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2022-06-02更新
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249次组卷
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3卷引用:河南省南阳市第一中学2021-2022学年高二下学期第五次月考文科数学试题
解题方法
3 . 已知x,
.求证.
(1)若
,
,则
;
(2)若
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9540dac1e90c29468a96c44fe6156.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74db8d5b8586fcb801580b4ae877d086.png)
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4 . 已知
,
.请选择适当的方法证明.
(1)若
,证明:
;
(2)若
,证明:
与
不能同时成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98941347dd7ac01f5e63a6c5930dd5fa.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656cacf9b32ce8f718dcb50bc8994593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f678dde8a2f44b8eae985b11bf4b50.png)
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2022-05-05更新
|
285次组卷
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3卷引用:河南省商丘市商丘名校2021-2022学年高二下学期期中联考数学理科试题
河南省商丘市商丘名校2021-2022学年高二下学期期中联考数学理科试题上海市七宝中学2022-2023学年高一上学期10月月考数学试题(已下线)专题04常用逻辑用语-【倍速学习法】(沪教版2020必修第一册)
名校
5 . 下面利用分析法证明问题的推理过程中不正确的是( )
A.要证![]() ![]() |
B.要证![]() ![]() |
C.要证一元二次方程的两个根![]() ![]() ![]() |
D.要证a,b,c,为等差数列,只需证![]() |
您最近一年使用:0次
6 . (1)已知x,y,
,证明:
;
(2)用反证法证明:三个数中a,
,a+1至少有一个大于或等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525c1a68848e95e6b419e0bbec3c0957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a918943fc90b71338c4a075df7877ef.png)
(2)用反证法证明:三个数中a,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd36903d563496a23ee02044eda8ce47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf3f23bfec394769b4670962b219999.png)
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7 . (1)用综合法证明:已知
、
、
都是实数,
.
(2)用分析法证明:对于任意
、
,都有
.
![](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/340a7d19c931c620194ed69ca85d9b03.png)
(2)用分析法证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826e907db02eff4c979278b3eee7cc29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf93fca1840aefafcebb38fa81a18dba.png)
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2022-04-22更新
|
194次组卷
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2卷引用:河南省洛阳市创新发展联盟2021-2022学年高二下学期联考(三)数学(文科)试卷
名校
解题方法
8 . (1)已知
,
,
,求证:
.
(2)用分析法证明:对于任意
时,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf913c92060a7bad4de1ee8c04d011e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9f2a4ec61fdebbfc77f04e789ea7ed.png)
(2)用分析法证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6964979a90a2036e9dd541c40cb50be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e8010392b125fb5f015992bad5d6fa.png)
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2022-04-20更新
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2卷引用:河南省郑州市十校2021-2022学年高二下学期期中联考理科数学试题
解题方法
9 . (1)已知a,b,c是不全相等的正数,求证:
;
(2)用反证法证明:若函数
在区间
上是增函数,则方程
在区间
上至多只有一个实数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ab8d8a251e0ec8d0e21a8f2372ef78.png)
(2)用反证法证明:若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
您最近一年使用:0次
名校
10 . 已知函数
,M为不等式
的解集.
(1)求M;
(2)证明:当a,
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2ddb7837483f813747333a380d23c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdf1eec5487c094e8d38cbc77b91604.png)
(1)求M;
(2)证明:当a,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab92728b35ed5798e07a2b0095bfcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087808e9fef50f78d8678ada29b443dc.png)
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2022-04-14更新
|
175次组卷
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2卷引用:河南省豫北名校联考2021-2022学年高二下学期期中考试文科数学试题