解题方法
1 . 已知
的值域为
.
(1)求实数
的值;
(2)判断函数
在
上的单调性,并给出证明;
(3)若
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be8c296dba4a6442f262437f6671c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f3966052d4a779b6247fdf12f97cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb85ae535f90b3c125d86b439ab2562.png)
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2 . 已知
的三边长
,三内角为
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b102b36cba4c1868afcd7a591a796da.png)
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3 . 已知a,b,c为三角形的三边.
(1)求证:
;
(2)若
,求证:
.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/756084350ee839aa662bb1b39fa962db.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09cad84c1fa1dbfdc03fb5441c039a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b6d7b31981b8dc5e2ac863e5a25fda.png)
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4 . 已知正实数a、b、c满足
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f9a67d0c6387f646e9041cc37ef63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a4491efe17eb84a30ebdcff8bec845.png)
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解题方法
5 . 已知正实数a、b、c,满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f135a4908c208e3f69e0090fc9a667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf9020dcff78f80a026319cfe61eadf.png)
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6 . 已知函数f(x)=ax2+bx+c(a,b,c∈R),当x∈[-1,1]时,|f(x)|≤1.
(1)求证:|b|≤1;
(2)若
,求实数a的值.
(1)求证:|b|≤1;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df97c4db5f580fea4e71e54c1c7076de.png)
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7 . 已知
证明:存在
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c615dcb4f13a1a85ba6ed5725d5946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb6ad068c743077c82851d3d51dd9e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f04583b490faf2ca0c8a3af4f483e1d.png)
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8 . 已知数列
中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf652b134a4f6a0fbad8dc50535294c6.png)
(Ⅰ)求
的通项公式;
(Ⅱ)若数列
中
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1a851bcd676be9624f13acf70ce7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf652b134a4f6a0fbad8dc50535294c6.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad870661fe92f49c7973991a7cb3f9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1a851bcd676be9624f13acf70ce7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42a37451f6475144de46d27f7d56c04.png)
您最近一年使用:0次
2016-11-30更新
|
2282次组卷
|
7卷引用:2007年普通高等学校招生全国统一考试理科数学卷(山西)
2007年普通高等学校招生全国统一考试理科数学卷(山西)2007 年普通高等学校招生考试数学(理)试题(大纲卷 Ⅰ)浙江省宁波市余姚中学2018-2019学年高二下学期3月月考数学试题2019年河南省郑州市高二数学选拔赛人教B版(2019) 选修第三册 一蹴而就 高考模拟测试卷(已下线)专题1 数学归纳法及其变种 微点1 数学归纳法(已下线)专题15 数列不等式的证明 微点2 数学归纳法证明数列不等式
9 . 设
满足
数列
是公差为
,首项
的等差数列; 数列
是公比为
首项
的等比数列,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4935544664f86edc57a0c3410fcf897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5217df154813a81ad37c406027e9f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c6099506bd60534ed57a71e3678b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/affd21d3fc4f76dcc7fffa227541df28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6cc218c568cc9d08e620696d1f61f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e8e67f649bb2e18fc02d6118ff4e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decb5e8546e79397586cbbdf0fc2e085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1f5a2d53d857943074a092006e110d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dedd2d9712979cae558023a3ae94b9.png)
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12-13高二下·江苏·期末
10 . 设x,y,z为非零实数,满足xy+yz+zx=1,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709a81e592c2318dc2ff9dee55d029c3.png)
您最近一年使用:0次
2016-12-02更新
|
2028次组卷
|
4卷引用:2012-2013学年江苏省新马高级中学高二下学期期末考试数学试卷