已知a>0,b>0,c>0,函数f(x)=|a-x|+|x+b|+c.
(1)当a=b=c=2时,求不等式f(x)<10的解集;
(2)若函数f(x)的最小值为1,证明:
.
(1)当a=b=c=2时,求不等式f(x)<10的解集;
(2)若函数f(x)的最小值为1,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d689b0da0bd4803b3e8a6c69542ae466.png)
19-20高三上·陕西渭南·期末 查看更多[4]
陕西省渭南市2019-2020学年高三上学期期末数学文科试题2020届高三2月第01期(考点14)(文科)-《新题速递·数学》2020届陕西省渭南市高三上学期期末(一模)数学(理)试题(已下线)专题15 不等式选讲-2020年高三数学(理)3-4月模拟试题汇编
更新时间:2020-01-21 08:20:06
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解答题-问答题
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适中
(0.65)
【推荐1】已知函数
.
(1)当
,求不等式
的解集;
(2)设
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389a7bea3480e68af260c61b34c4d2f4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554a300d6d7469a2d7fea9563ef2bfbe.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0626a5941a46480a86f6a73aa21ba5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a11b8a2fc710d26c89953d4d3a4eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
解题方法
【推荐2】已知函数
.
(1)当
时,解不等式
;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d0193c8aa68c1bcf26b0b8c1b84458.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b5b9ca674ca140abf33d02067e6ae1.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐1】已知函数
,其中
.
(1)当
时,求不等式
的解集;
(2)若对任意的
恒成立时m的最小值为t,且正实数a,b满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2379c1c2d0e095625f77f7883003df7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975af98526d943ccd1ab7b9f0e022374.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624070d66d05a0f5244648e5d1cffe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0fd3296a0ecf275a161134518dba8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b0e403c5f00d0357d3fa30d6c2717c.png)
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【推荐2】选择适当的方法证明
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd470240a8ed3ec3722e21bb1c0d9092.png)
(2)已知
,
,
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709d6f3c95df76f1c810a67ddc62626e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd470240a8ed3ec3722e21bb1c0d9092.png)
(2)已知
![](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/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709d6f3c95df76f1c810a67ddc62626e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32f316aa49ac4cff6a3f9e9a51dff4b.png)
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