1 . 已知集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dafef7fa90e5c307d8582dd60ea2eee.png)
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.![]() |
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解题方法
2 . 已知函数
则下列判断正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc7e003c571295db3c8d1bf7f654fb3.png)
A.方程![]() ![]() |
B.若直线![]() ![]() ![]() |
C.若方程![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2021-07-08更新
|
494次组卷
|
2卷引用:湖南省名校联考联合体2020-2021学年高一下学期期末联考数学试题
名校
解题方法
3 . 如图,半径为1的圆
上有一定点
,
为圆
的一条长为2的切线段,点
在圆周上以每秒
的角速度逆时针运动(初始位置为
),当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9266e0db5fda0aa30e54b29d8f5e94.png)
__________ ;当点
在圆上运动一周的过程中,
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcfe70fcf6c4adf6fd7b02911c2cd36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9266e0db5fda0aa30e54b29d8f5e94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fe18f5198b4b51b8130f751f42500b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/22/d1a16c72-9461-46c4-9980-d6fee3c6d9b0.png?resizew=167)
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4 . 下述四个结论
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a455965bf97adf239db6da9cdb17e0ea.png)
②已知扇形的半径
,圆心角30°,则扇形的弧长是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26390a4c601ab474be46341e5f72a526.png)
③函数
是单调递增函数
④化简
得到的结果是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
其中所有正确结论的编号是( )
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a455965bf97adf239db6da9cdb17e0ea.png)
②已知扇形的半径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ec556703fc98d32003759064c20b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26390a4c601ab474be46341e5f72a526.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffa8ddcbbe89ab0f250f56673e2d36c.png)
④化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2db28b7fc3f9749135ebcf58b8b5497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
其中所有正确结论的编号是( )
A.①② | B.②③ | C.②④ | D.②③④ |
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解题方法
5 . 下列结论中是正确的有( )
A.函数![]() ![]() |
B.若![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2022-01-29更新
|
158次组卷
|
2卷引用:湖南省湘西州2021-2022学年高一上学期期末数学试题
解题方法
6 . 给出8个函数:①y=2x,②y=(
)x,③y=log2x,④y=log0.5x,⑤y=x2,⑥y=
,⑦y=sinx,⑧y=tanx.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2973c517357bda8864af94e0d56b7e8c.png)
A.定义域是R的函数共有6个 | B.偶函数只有1个 |
C.图象都不经过第三象限的函数共有6个 | D.满足f(x+2π)=f(x)的函数只有2个 |
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2021-11-02更新
|
246次组卷
|
2卷引用:湖南省三湘名校、五市十校教研教改共同体2022届高三上学期第一次大联考数学试题
解题方法
7 . 请写出满足函数
的周期为
的任意一个解析式________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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8 . 如图所示的是某地区一“月牙湖”的示意图,该湖的湖岸线由一段半圆弧(弧
),抛物线的一部分(曲线
)和两条平行且相等的线段(
与
)组成,其中
为半圆弧的圆心,且为抛物线的顶点.已知
,
,在半圆弧
上选取一点
,在曲线
上选取一点
,使得
,现欲在
与
两点间建一座桥,且桥长为
.
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859578566828032/2865472683745280/STEM/8f420767-185a-41ef-9896-c3410f062b63.png?resizew=248)
(1)设
,
,试写出
关于
的函数表达式;
(2)假设桥的修建费按桥面每平方米
元来计算,桥宽为
,且桥面为矩形,当桥长
达到最大值时,试问修建费共需多少万元?并求此时
的值(单位:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564743a1fe463a981f06914e3cb5e03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84c1e5a8fac655a06374d15813fd5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfaf064eebdb1ef119dca3eb73bd744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564743a1fe463a981f06914e3cb5e03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3bbc948e3db266a4d0f1b1c8474355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859578566828032/2865472683745280/STEM/8f420767-185a-41ef-9896-c3410f062b63.png?resizew=248)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91659c48df1d3099346bb34fd277ff54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9921dbdd7b942132aae2fb8e1082a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)假设桥的修建费按桥面每平方米
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ac61206cb12cf6686bb0facf635010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766a81bd0afbfc4a6aeff49f91d7f193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe2e03840cb2f0c7a89cb2b6153c7d9.png)
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