名校
1 . 设集合
,
.
(1)若
,求集合
和
(用列举法表示);
(2)求证:
;
(3)若
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ddf853aaab07a537a37cd80bca0c4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237752297babca42d3c3709b4cbfb34d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e6d77aabbebe52e7aca993368d874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31fff6c9a52fd12a5ea3408b2bc41c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad96b50521f4bbf3d436d05dc258083d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
名校
2 . 设二次函数
,若
,
.
(1)若
,求
的值;
(2)求证:方程
必有两个不等实数根
,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee761a6feb47d20768453deea2e62b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c30919cbd015f55cefdd9bbe2a33687.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
(2)求证:方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0a7fde8d96329f882de5040b490d05.png)
您最近一年使用:0次
名校
3 . 已知函数
.
(1)求证:函数
的图象与
轴恒有公共点;
(2)当
时,求函数
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b222c964b32e9d712760d552d8b9d6.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a94d679c5a3906f04fe473e622331f7.png)
您最近一年使用:0次
2019-12-15更新
|
222次组卷
|
2卷引用:浙江省绍兴市诸暨中学2019-2020学年高一(平行班)上学期期中数学试题
解题方法
4 . 已知a>0,b∈R,函数f(x)=4ax2﹣2bx﹣a+b,x∈[0,1].
(Ⅰ)当a=b=2时,求函数f(x)的最大值;
(Ⅱ)证明:函数f(x)的最大值|2a﹣b|+a;
(Ⅲ)证明:f(x)+|2a﹣b|+a≥0.
(Ⅰ)当a=b=2时,求函数f(x)的最大值;
(Ⅱ)证明:函数f(x)的最大值|2a﹣b|+a;
(Ⅲ)证明:f(x)+|2a﹣b|+a≥0.
您最近一年使用:0次
2016-12-04更新
|
384次组卷
|
2卷引用:2015-2016学年浙江省台州市高一上期末数学试卷