名校
1 . 设
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369dd3ff5cc1dea0949d0a538e3cdebb.png)
,记
.
(1)若
,
,当
时,求
的最大值;
(2)若
,
,且方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d533c2927bf8b0de9dd6fe3659f59e72.png)
有两个不相等的实根
、
,求
的取值范围;
(3)若
,
,
,且a、b、c是三角形的三边长,试求满足等式:
有解的最大的x的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f33b53f9075962e636fd8a92a71a71f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369dd3ff5cc1dea0949d0a538e3cdebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ad943df3f041566c76f1a3b1513852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4bb053ba9f2751c97b3dc4c1898080b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4880034fc9384ba2c267747628ec8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d533c2927bf8b0de9dd6fe3659f59e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2ed12bdfda0c5bfff863f6da53cfec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81eedd077b507f134c97a79293190a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d10a32f013100f9a42d8a88d7fb222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
您最近一年使用:0次
2020-01-15更新
|
206次组卷
|
2卷引用:上海市七宝中学2017-2018学年高三上学期10月月考数学试题
名校
2 . 已知二次函数
的最小值为-1,且关于
的一元二次不等式
的解集为
.
(1)求函数
的解析式;
(2)设
,其中
,求函数
在
时的最大值
;
(3)若
(
为实数),对于任意
,总存在
使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c6dbeab3ca3c3d1ec292dafebd8f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33ca38b0d8ed9db963b2c78854349c5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7655322606d793c78eb7db59ba8fdd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c81b29ac8a01886b25dcef55c5f6877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec006c89024a3a0de61213000b8d418f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e91406484c332ac8fc96a54c7e187b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba6fbbaf0854386927c3765d254ffe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e233c52e0f1291688ca2d342bd41f8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb7c3d3dc0febeccfeff6933b2b44c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b355aadb118f0b163f5e8b2125bc13e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdbe5e53b118daebd5219f2876726ae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df88a44d9ccfd44ae7ba718817f7c8a5.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360528ea83789fd0f6b299890893ca17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-03-20更新
|
268次组卷
|
2卷引用:2020届安徽省六安市第一中学高三下学期模拟卷(六)数学(理)试题
名校
4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e90b5dd7db848e516e1016a9d448439.png)
(1)已知
在
上是单调函数,求
的取值范围;
(2)求
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e90b5dd7db848e516e1016a9d448439.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
您最近一年使用:0次
2020-01-01更新
|
1958次组卷
|
5卷引用:湖北省黄冈市浠水实验高中2019-2020学年高一上学期10月月考数学试题
名校
5 . 已知函数
满足
.
(Ⅰ)当
时,解不等式
;
(Ⅱ)若关于x的方程
的解集中有且只有一个元素,求a的取值范围
(Ⅲ)设
,若对
,函数
在区间
上的最大值与最小值的差不超过1,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f7d6f51562c4f88f6e25ea1242f910.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(Ⅱ)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1798b8db9226f5c6a773b678e299d10.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119e8f7ecf67b46400cba51ec6f818ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994e2170bd72e0a769bae7552a80efd3.png)
您最近一年使用:0次
2019-07-04更新
|
2508次组卷
|
5卷引用:湖北省天门市、仙桃市、潜江市2018-2019学年高一下学期期末考试数学试题