1 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c779fc5b4926c5bee16422107a90c47.png)
A.若函数![]() ![]() ![]() |
B.关于![]() ![]() ![]() |
C.对于实数![]() ![]() |
D.当![]() ![]() ![]() ![]() |
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名校
解题方法
2 . 已知函数
当
时,不等式
的解集是______ ;若关于
的方程
恰有三个实数解,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca0968a5d441b03c0f7962c82ab1805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c67ddd60c47e91783929c8bdf8ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-09-15更新
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5卷引用:天津市滨海新区塘沽第一中学2023届高三下学期十二校联考(二)数学模拟试题
名校
解题方法
3 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab9ca08258afa316987ccae15a969e0.png)
A.若函数![]() ![]() |
B.关于x的方程![]() ![]() |
C.对于实数![]() ![]() |
D.当![]() ![]() |
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2020-12-14更新
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7卷引用:山东省新高考2020-2021学年高三上学期联考数学试题
4 . 已知函数
(
,
),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d9f93086355e85c381dcd7f41dadf5.png)
(
).
(1)如果
是关于
的不等式
的解,求实数
的取值范围;
(2)判断
在
和
的单调性,并说明理由;
(3)证明:函数
存在零点q,使得
成立的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973fc3abf35cab7af01e781bb2e7cd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d9f93086355e85c381dcd7f41dadf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca2e941780c5c66920b68808d47bea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf9c380edc9b8ad928662eeab23c86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a9ce856475eea193ecaabe2e4be583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346a101f2602fe7ae0b4f2660f83831.png)
(3)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c30572af5d28991fedd6692a13dc0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f2b5aa8dd9dad7f371f0d7ab7b18dd.png)
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5 . 已知函数
.
(1)若关于
的方程
在区间
,
上有两个不同的解
,
.
①求
的取值范围;
②若
,求
的取值范围;
(2)设函数
在区间
,
上的最大值和最小值分别为
(a),
(a),求
(a)
(a)
(a)的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6caf00406d4e34a59d82253721992e.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eebe7397ead9e7ecaf5507ac7097221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced922d8d5c0697c23fa4a70cb4bf8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45340678c2ec1bc8cd68c0a3a2ab8902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fef976a0230bdfe3bc758e93987ba8.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17fff6cad52af74309c2d811fa5e508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45340678c2ec1bc8cd68c0a3a2ab8902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276509f01529d982ab21e479a4619268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f25bdceabb6df67def3bd51c337340e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93129dde5fa5cd84e3702e457535e274.png)
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2022-02-27更新
|
509次组卷
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3卷引用:2016届浙江镇海中学高三5月模拟数学(理)试卷
名校
解题方法
6 . 已知
是定义在
上的函数,满足
.
(1)证明:2是函数
的周期;
(2)当
,
时,
,求
在
,
时的解析式,并写出
在
,
时的解析式;
(3)对于(2)中的函数
,若关于
的方程
恰好有20个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b94f154fad04efe8c4af84831ee43b.png)
(1)证明:2是函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3038d4728f959a8efedc2592e4a4b5fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcf8a317ccc87a1bf8e17852fddbe29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17bd7834d6f17e5f30f10ca4b562552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fb378d6bf91902efa15881985c5e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63fda4ef593f6f4bc7cf7c5ecabd584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2db1cf3233339a322fbe52ada4ddd7.png)
(3)对于(2)中的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e9ecfdf2ec90ea96e104158aec81c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-08-13更新
|
1391次组卷
|
6卷引用:上海市实验学校2018届高三上学期第二次月考数学试题
上海市实验学校2018届高三上学期第二次月考数学试题2016届上海市嘉定区高三第三次模拟练习(文)数学试题2016届上海市嘉定区高考三模(文科)数学试题(已下线)专题2.3 函数的奇偶性与周期性(精测)-2021届高考数学(文)一轮复习讲练测(已下线)专题05函数的周期性和对称性 - 解题模板A上海市实验学校2022届高三上学期10月月考数学试题