名校
解题方法
1 . 已知函数
有三个不同的零点
,
,
,且
,则实数a的取值范围是______ ;
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ffbfce99b6152ce76eac188afeb2a.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/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded52999771182240a44aaa48cf8fc7a.png)
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2 . 已知函数
,若
的图象与
轴有3个不同的交点,则实数
的取值范围是__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa3bb77c971beb9a62f166fde545458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44d9de2cee26966ad19e87a7d6c85b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 若函数
的图象与直线
有4个交点,则实数a的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f4553597c45f8ceeecd1f76cb07f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
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4 . 已知正实数
,
满足
,则下列不等式可能成立的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b16ceae23938d0d9b77f31f54d9ea1c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024·全国·模拟预测
5 . 已知
则方程
可能有( )个解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ce124fd5d9db9e0722ed1670efe4da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a5c5b2fcb512ee0bc8a9997bde1e47.png)
A.3 | B.4 | C.5 | D.6 |
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6 . 高斯是世界四大数学家之一,一生成就极为丰硕,以他的名字“高斯”命名的成果达110个.高斯函数
,其中
表示不超过实数x的最大整数,如
.若函数
有且仅有4个零点,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee20ca2c7069aeeb13c5210838f5695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c0631e73500eca9698914b6ac03253.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 已知函数
,若关于
的方程
有4个不同的实根
、
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c407c501c66aa304839fe61ff531d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2961ff859ef31f3a71c69841dc64176f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f176de330ed3f93fee6f5a398de57c3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-02更新
|
525次组卷
|
4卷引用:浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题
浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题湖南省长沙市明德中学2023-2024学年高一下学期期中考试数学试卷(已下线)模型12 对数函数绝对值 “积定法”的零点模型(高中数学大模型)江西省宜春市宜丰中学2023-2024学年高一下学期6月月考数学试题
名校
8 . 已知
,若存在实数
,当
时,满足
,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d9d38275aa90b1455cad0886c1306a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ea3e46723ceec6070add0f6cede158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe45ccb5ede3eb19706a6b58f98b3ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cf24c351d5a52930cf33d772a819f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23716e48070d2ae27067c76e17562a5.png)
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2024-04-23更新
|
338次组卷
|
3卷引用:福建省厦门双十中学2023-2024学年高二下学期第一次月考数学试题
名校
9 . 已知函数
的定义域为
,且
,都有
,
,
,
,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6b863364b72463ff435f44535abde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8479c434c830cdb71e2b2ddabd197a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86334a5323b66e5bbb912eba81e52b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32358560bd0832ecc0e7257203e1be15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77538bd3aba1864f5eac30dae75b36d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953bbf77a2c58b4ba69ca9ad11e3a7e.png)
A.函数![]() ![]() |
B.![]() |
C.![]() |
D.函数![]() ![]() |
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2024-04-15更新
|
1357次组卷
|
3卷引用:湖南省长沙市南雅中学2023-2024学年高二下学期第二次月考(5月)数学试题
名校
10 . 函数
是定义域为
的奇函数,且它的最小正周期是2,已知
.下列四个判断中,正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8b7857a3cbd799430d2709f6e4cb3.png)
A.函数![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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