解题方法
1 . 给定区间
,集合
是满足下列性质的函数
的集合:任意
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498d0230c058cb3bc6c8532d81cccb02.png)
(1)已知
,
,求证:
;
(2)已知
,
若
,求实数
的取值范围;
(3)已知
,
,讨论函数
与集合
的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bb6324279df94decba955e04ccfa9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498d0230c058cb3bc6c8532d81cccb02.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df30a6a4e1f42653da53dd068f0aad89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3235fb73f554beee6f89fd4db2cf62d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc416e67396183e0b2acebb0d99ca35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e74920f57028200604c2691c8f0fb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8539e17ad8069125abeba054b80ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3a290e355060efa374f301bcf4ebe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2022-04-06更新
|
382次组卷
|
5卷引用:【市级联考】江苏省南京市2018-2019学年高一上学期期末调研数学试题
【市级联考】江苏省南京市2018-2019学年高一上学期期末调研数学试题【市级联考】江苏省南京市2018-2019学年高一第一学期期末调研测试数学试题(已下线)专题04 《幂函数、指数函数和对数函数》中的解答题压轴题-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)江苏省常州市十校2022-2023学年高一上学期12月联考数学试题安徽省滁州市定远县育才学校2023届高三上学期期末数学试题
解题方法
2 . 已知函数
,其中
.
(I)若
,且
时,
的最小值是
,求实数
的值;
(II)若
,
,且
时,
恒成立,求实数
的取值范围;
(III)若
,
,
,函数
在区间
上的最大值与最小值的差不大于
,求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e23eb1a8277830d38ac95bb18b85ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f78fd56add6788e7308fe23792749f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315dfde04472db49d8c28bd77c5c72c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315dfde04472db49d8c28bd77c5c72c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(III)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/db33d0946b251f382f2d3ec95eb8f0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f4b925a370e94cb659311cde329276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
,
.
(1)若函数
在
为增函数,求实数
的值;
(2)若函数
为偶函数,对于任意
,任意
,使得
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482de0ec9b7785722b984bb24cb1ac97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acd45ea1db83ed38b951daf2ccde56d.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3306b0d881e80bc9d0ac85d4a736b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2f3f41ca28e9b91f24579f7d5680a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-03-03更新
|
2681次组卷
|
8卷引用:四川省绵阳市三台中学实验学校2019-2020学年高一上学期期末数学试题
解题方法
4 . 已知函数
满足
.
(1)当
时,解不等式
;
(2)设
,若对
,函数
在区间
上的最大值与最小值的差不超过1,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f7d6f51562c4f88f6e25ea1242f910.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378bcda5fd28f9f9ce256096d77ea264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48222eea9755a7c7635578031a573bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 已知函数
,
,
.
(1)若
,解关于
的方程
;
(2)设
,函数
在区间
上的最大值为3,求
的取值范围;
(3)当
时,对任意
,函数
在区间
上的最大值与最小值的差不大于1,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49200638dacabba433c89091a85a3a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f16d7a9d2ce1f908ff31e2cdbc8ecb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f2800d829411fdc852077577878df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed937c70e80009dc02053042d43718b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ceb6b26ba1dc1ae5843bb3f769c0788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a404323df900f1d9ce67efbbff365b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c91b3592e2dce9cc8639ca9d30e12bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-13更新
|
1176次组卷
|
4卷引用:江苏省南通市启东市2019-2020学年高一上学期期末数学试题
江苏省南通市启东市2019-2020学年高一上学期期末数学试题江西省景德镇市第一中学2021-2022学年高一(18班)上学期期中数学试题江西省景德镇市第一中学2021-2022学年高一(重点班)上学期期末数学试题(已下线)专题04 《幂函数、指数函数和对数函数》中的解答题压轴题-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)
6 . (1)已知
对于任意
恒成立,解关于
的不等式
;
(2)关于
的方程
的解集中只含有一个元素,当
时,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860853c6b6a2472eed48c6a82efecd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28b62727a50c289fcbe501177230e62.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af76e6a59ad6a86f8a9ed51b978f20a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6372b2cd2642f664f8bad37f086535b.png)
您最近一年使用:0次
名校
7 . 已知函数
的图像关于原点对称,其中
为常数.
(1)求
的值;
(2)若
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb9fbd457bbc6727316406603721c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc47067a60ce0dbab0c103fe7fb059d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-12-19更新
|
532次组卷
|
6卷引用:江西省南昌市新建一中2019-2020学年高一上学期第二次月考(共建部)数学试题
名校
解题方法
8 . 已知函数
,对任意a,
恒有
,且当
时,有
.
Ⅰ
求
;
Ⅱ
求证:
在R上为增函数;
Ⅲ
若关于x的不等式
对于任意
恒成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c13a09123ae873e0b0501aaecc507e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ab39f22cd2a6081356f2532c1d0095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c62e8677ea5b1613cd4d15dc5ebe0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959f019ced15fee01049607a897aae83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f8ea426c5c889a0486ce554a4a438a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbd0cca5ac040e300930067f5765fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c13a09123ae873e0b0501aaecc507e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bef5d5f5e55c4ac836ba04284b3c2b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0632d6e3f3462ae16dbff9050f74da.png)
您最近一年使用:0次
2019-01-20更新
|
3668次组卷
|
6卷引用:【市级联考】辽宁省沈阳市2018-2019学年高一期末数学试题
9 . 已知二次函数
的图象经过原点,函数
是偶函数,方程
有两相等实根.
(1)求
的解析式;
(2)若对任意
,
恒成立,求实数
的取值范围;
(3)若函数
与
的图像有且只有一个公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0369099d128586f54e7d566a5cdc5686.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a9797b81d7e93fef31805acd40b50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f880f254c348630f3760d03108758555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc24766b2d89af71596bbe810446e389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0484d27f1b01463b2682897bbc1e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-02-04更新
|
1199次组卷
|
2卷引用:广西桂林市2017-2018学年高一上学期期末考试数学试题
解题方法
10 . 对于函数
,
,
,如果存在实数
使得
,那么称
为
,
的线性组合函数.如对于
,
,
,存在
,使得
,此时
就是
,
的线性组合函数.
(1)设
,
,
,试判断
是否为
,
的线性组合函数?并说明理由;
(2)设
,
,
,线性组合函数为
,若不等式
在
上有解,求实数
的取值范围;
(3)设
,
,取
,线性组合函数
使
恒成立,求
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/b3b071b884434c3f92af80c29b805a3d.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/55305a63c24d4ccb8d6121bcc1a263e4.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e2a225bebeba48f3b8a858b207c4dbf1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/150f18aba1a347c8b8b96a6aeb57e883.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/423825a031b04f9ab2e3d6271535cf3f.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e2a225bebeba48f3b8a858b207c4dbf1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/b3b071b884434c3f92af80c29b805a3d.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/55305a63c24d4ccb8d6121bcc1a263e4.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/88d771167f81459592aa050e775d6631.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/27aba3d6defe4f4cbd8398f46393bd12.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/cc8445414fcf482b95712e43473209bb.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/c9ba2dda87214d86bfd893cdffcbcc79.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/f9f2d8ac5ab34f1d87ef68f27635b717.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e2a225bebeba48f3b8a858b207c4dbf1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/b3b071b884434c3f92af80c29b805a3d.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/55305a63c24d4ccb8d6121bcc1a263e4.png)
(1)设
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e25cf1acca6140fb99b2eebe058f7062.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/1692cc7945734422a746a389accc42b3.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/56b26a297033480e984a73b5dc79d165.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e2a225bebeba48f3b8a858b207c4dbf1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/b3b071b884434c3f92af80c29b805a3d.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/55305a63c24d4ccb8d6121bcc1a263e4.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/b39ca77c8b474000b466e9618c4c4ea7.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/4b3bcf3d97e74118a59fa889a3aaf62e.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/193beaaf56a34517a789799997b6d98b.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e2a225bebeba48f3b8a858b207c4dbf1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/c5639c5157cc46d6a0a4364c86ae4c9f.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/cc170af2fb344c92a180d36539f945d5.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/53c470d880d6441c865ca63f0244c15e.png)
(3)设
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/a9c754b811e34c358871d80647676280.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/7c85385f976b464daffa5bb592368c54.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/11b5979b5c23454ab8337b08b0d0f18b.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/e2a225bebeba48f3b8a858b207c4dbf1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/799ce07642684d5dbda1f0682c8caeb6.png)
![](https://img.xkw.com/dksih/QBM/2016/3/25/1572556151357440/1572556156846080/STEM/b7811da6c81d4138933c3b23a072cceb.png)
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