1 . 已知函数
,其中
.若方程
有且只有一个解,则a的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5c3815b120069ef047e94563e2afab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6232dc74b15e4acb0ac3482a1cbe6a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7d3fe1a1734e1d090cf05df9753e09.png)
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名校
2 . 已知函数
,若函数
恰有两个零点,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb836033d24317906fb504bcbed1009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758180dcaee280cf74528a6dab32e3b1.png)
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2023-11-10更新
|
1050次组卷
|
3卷引用:辽宁省大连市2023-2024学年高一上学期期末考试数学训练卷
辽宁省大连市2023-2024学年高一上学期期末考试数学训练卷福建省厦门第一中学2023-2024学年高一上学期期中考试数学试题(已下线)第8章 函数应用 章末题型归纳总结 (2) -【帮课堂】(苏教版2019必修第一册)
名校
3 . 指数级增长又称为爆炸式增长,其中一条结论是:当
时,指数函数
在区间
上的平均变化率随t的增大而增大.
已知实数a,b,满足
.
(1)比较
和
的大小;
(2)当
时,比较
和
的大小;
(3)当
时,判断
的符号.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb83ad27846200a8ac81ff4cf7fd510.png)
已知实数a,b,满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffdd1af016ecdb6d75a43e089a06e62.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdaba8b1591046933f2f725b6b1bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0d2b7d558996d2e2a2ed1ce3011d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9237dbe3a4f28962ef2870b4e7dab599.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed40cc05a505673f9205c4dba2f1b6f.png)
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2023-03-23更新
|
948次组卷
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3卷引用:辽宁省沈阳市2023届高一下学期教学质量监测数学试题
4 . 定义在
上的函数
满足
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad69e072416bd6c6118f619a5d102964.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de685fcc05038999222c57feef3efb0c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff897d8557e61c366008e407ea7cdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20e3024761f419b02f3492b8dd3dd60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efe9bb78534554207f2952ed949bf46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad69e072416bd6c6118f619a5d102964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de685fcc05038999222c57feef3efb0c.png)
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2023-01-16更新
|
800次组卷
|
2卷引用:辽宁省协作校2022-2023学年高三上学期期末考试试题数学试题
名校
解题方法
5 . 设定义在
上的函数
满足:①对
,
,都有
;②
时,
;③不存在
,使得
.
(1)求证:
为奇函数;
(2)求证:
在
上单调递增;
(3)设函数
,
,不等式
对
恒成立,试求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f09285f931bc3754410b6dffa53e4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e532d7fd74b192af0eb6ab598971a8b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b017ec7de129a26a325c52db6a3abfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b6c58f9bcbbcf99ba037e3bd4497a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8265a52147b71939bf1f37eba52c609b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6552c3a42c2629ef9533f0fc651736.png)
您最近一年使用:0次
2022-11-18更新
|
2044次组卷
|
4卷引用:辽宁省沈阳市东北育才学校科学高中部2022-2023学年高一上学期期末数学试题
名校
解题方法
6 . 已知
,若方程
有四个根
,
,
,
且
,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272f0b36fdd0aa4a35ea35b08f606de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577ae7344fd256ae4c8034a4c5fc83fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2741ca619df1d9ab3d9ced4c49142dc.png)
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2022-01-17更新
|
3144次组卷
|
5卷引用:辽宁省大连市2021-2022学年高一上学期期末数学试题
7 . 定义函数
,表示函数
与
较小的函数.设函数
,
,p为正实数,若关于x的方程
恰有三个不同的解,则这三个解的和是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3540e2bdfacc9bbfe2dbb309cd6502b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebef85c05f6d84ceb67d92abf77ba2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ace630100e64ed290d82936ad249c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90ae2deac74656a7830e014fe52bfef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4a5295369eb3befe3413debeac1472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a4f3d0f4f608ea4e8481843d19429.png)
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2020-02-13更新
|
1758次组卷
|
6卷引用:辽宁省沈阳市回民中学2022-2023学年高一上学期期末数学试题