解题方法
1 . (1)已知函数
,求证:
;
(2)已知函数
在区间
上具有单调性,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd056fe6bde85d1452489f57a7d3bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf116ecbdb894c1d05d5b3b5203c10a6.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c690505067db9c8f1c19178944cfde7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94430f380be7e63a5ef0072c188772b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . “数摺聚清风,一捻生秋意”是宋朝朱翌描写折扇的诗句,折扇出人怀袖,扇面书画,扇骨雕琢,是文人雅士的宠物,所以有“怀袖雅物”的别号.当折扇所在扇形的圆心角为
时,折扇的外观看上去是比较美观的,若此扇形的半径为3,则其面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732250efe9c8c0cbca127fb2ed2a4bf9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/c32805e7-0907-45ca-9f93-766a4e8e3c1b.png?resizew=164)
您最近一年使用:0次
2024-02-21更新
|
201次组卷
|
2卷引用:贵州省黔西南布依族苗族自治州2023-2024学年高一上学期1月期末考试数学试题
解题方法
3 . 已知函数
,其零点所在的区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c298e3b72856ab70082079d5105e8873.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcf4b0cf6235605919cbef4d0b41a1c.png)
(1)若
,求
的值;
(2)若函数
有5个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcf4b0cf6235605919cbef4d0b41a1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0c63f83d083501b752fc13fb0b4786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 如图①,筒车是我国古代发明的一种水利灌溉工具,因其经济又环保,至今在农业生产中仍得到使用.如图②,一个筒车按照逆时针方向旋转,筒车上的某个盛水筒
到水面的距离为
(单位:
)(
在水下则
为负数),
与时间
(单位:
)之间的关系是
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/7a252386-beae-4530-b547-284c7e5d60e1.png?resizew=144)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/751d0232-829a-40f5-be0b-211fed46abc0.png?resizew=169)
(1)盛水筒
旋转一周需要多少秒?盛水筒
出水后至少经过多少秒就可以达到最高点;
(2)当
时,判断盛水筒
的运动状态(处于向上运动状态、处于向下的运动状态),并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65502a7ea4d1ce6d6d8c720845c73e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee47827f33c511d7f8f8b24694732d57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/7a252386-beae-4530-b547-284c7e5d60e1.png?resizew=144)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/751d0232-829a-40f5-be0b-211fed46abc0.png?resizew=169)
(1)盛水筒
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9533cdbee15af454832f8c1e7cca55fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解题方法
6 . 函数
(
,
)的部分图象如图所示,则下列说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/edfe6354-d719-48fe-98dd-22072aebab31.png?resizew=147)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b905692e9d59aaffb87a8fdadf5b9d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0578c8070395b4305720d30bd8fb559b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c923c64d63d2a195e1982f616c23544.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/edfe6354-d719-48fe-98dd-22072aebab31.png?resizew=147)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若方程![]() ![]() ![]() |
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7 . 函数
的图象如图所示,则
的解析式可能是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/c26a44b1-310a-402e-b106-3b141e1f6e5a.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/c26a44b1-310a-402e-b106-3b141e1f6e5a.png?resizew=169)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知幂函数
恒过定点
,则函数
的解析式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f98703a94efdf092738b9b9cc431b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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9 . 关于函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
A.方程![]() | B.![]() ![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知
,且
为第一象限角,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc3129244f8ed5b406c4e1863b8cf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
您最近一年使用:0次