1 . 下列说法错误的有( )
A.![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() |
D.若![]() ![]() ![]() ![]() |
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2024-01-06更新
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236次组卷
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2卷引用:吉林省白山市2023-2024学年高一上学期期末教学质量监测数学试卷
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解题方法
2 . 已知函数
,若
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a72c3569d4d646b0e70a0ad83c8fae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fcb50f155690f7d2f67c72eac4638be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30ef282faeb29715cc49d5e8fff130a.png)
A.当![]() ![]() | B.当![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
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3 . 函数
,
,若
有两个不等实根,则m范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f6d8b1aa8bc3d82506111aac3ad467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb452d0eeab2e3d1f626e3845c0806e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bd165f178bbe4c2520743bfb22736e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 函数
,若
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5233ebb709a65775b827fc6e40f99cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 已知函数
的图象在
上连续,则
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5a9e633b60a711af60d3ad6d05f433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaccb776bc41d656ded6e5ae1fba4b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc1523358028a32fa0bb84a0e638f52.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-05更新
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196次组卷
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3卷引用:安徽省安庆市第一中学2023-2024学年高一上学期12月“三新”检测考试数学试题
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解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb2c38decf66072b8acfabe04fe609e.png)
(1)作出函数
的图象(不写作法),并根据图象写出函数
的单调区间;
(2)设函数
有四个零点
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb2c38decf66072b8acfabe04fe609e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/478e6d40-cf34-4c16-b820-8f2a78e92291.png?resizew=242)
(1)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5b9f57d3634f8337f1414f8a2a2dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5a45741d9aee37ed917dbe925d2204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429d4988ab918d052ef2a4204d8c6907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a676166ed6b6cd431903f61e5dfd9fb.png)
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7 . 已知函数
.
(1)求
和
;
(2)若
,求
的值;
(3)作出函数
的图象;并根据图象写出单调区间;
(4)当方程
有3个解时,直接写出实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2e92fcc7b2d36880047071a0f95e8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14348dcf52b54174c7f3cecc63d69e3e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a73db674d29eae8f8921eff5944983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(4)当方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
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解题方法
8 . 已知函数
的最小值是
,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e23af39319a914208d874977fced07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-04更新
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538次组卷
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2卷引用:江苏省无锡市天一中学2023-2024学年高一上学期期中考试数学试题
2023高一·江苏·专题练习
解题方法
9 . 若函数
,若关于x的方程
有4个不同的实数根,则实数b的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d97a20570c18359c9842445e3ae6cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2498a40327a0745d161561811c70ba3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 定义
为
中最大值,设
,则
的函数值可以取( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749c45521309ed059607c75ee9b4bc26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b709e93f17238ac42f7f5cce90fc0b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
A.3 | B.4 | C.5 | D.6 |
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