名校
解题方法
1 . 已知函数
.
(1)若
,求该函数的值域;
(2)证明:当
时,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a78974cc6de1849b9e24bbb93650c39.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c3bfcff3d6a5798c118d6de4801f25.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c3bfcff3d6a5798c118d6de4801f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c169188acc178f3f416d33fc9758d7.png)
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2022-09-29更新
|
370次组卷
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2卷引用:河南省新未来2022-2023学年高三上学期9月联考文科数学试题
名校
2 . 函数
对任意的实数a,b,都有
,且当
时,
.
(1)求
的值;
(2)求证:
是R上的增函数;
(3)若对任意的实数x,不等式
都成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff285ec4318f2c24da0e38ba227e192d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对任意的实数x,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec25a2305b71549abd29ef4940568697.png)
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2020-11-29更新
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756次组卷
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3卷引用:重庆市巴蜀中学2020-2021学年第一学期高一期中考试数学试题
名校
解题方法
3 . 已知函数
(
且
),
.
(1)求
的值,判断函数的奇偶性并证明;
(2)若对于
,使得
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1523ec58743a63f8dadf7c86fbbf11c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28907ddb8b518350b47d5a378eac108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-12-30更新
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131次组卷
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2卷引用:重庆市外国语学校2020-2021学年高一上学期12月月考数学试题
名校
4 . 已知定义在实数集R上的偶函数
和奇函数
满足
.
(1)求
与
的解析式;
(2)求证:
在区间
上严格增函数;
(3)设
(其中m为常数),若
对于
恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41ae210dd892fc5428a51dd409aa69d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d288279bf4c401db817e00d28eeafb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd364db2c851e9c24cbf5fba46a5e44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a002dd51f5338c4bc0e15fb201c3f.png)
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5 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89596e5d8d43e7557807dc4f1d97c1f7.png)
.
(1)当
时,判断函数
在区间
内的单调性,并用定义加以证明;
(2)记
,若
在区间
上有意义,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89596e5d8d43e7557807dc4f1d97c1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b00f32e1420c0dceaf59ca70b8ec2a5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347c62b44fae618a37c145b3b5d1f1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ae3725267efb18fe2a07ba38dd0bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-01-16更新
|
240次组卷
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2卷引用:共美联盟2019-2020学年高一上学期期末数学试题