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1 .
,则
与
的关系是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19acddff4cb3831a8e8974e532c05242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2 . 如图,已知点
沿着半径为
的半圆弧按逆时针方向从
点行进到
点(不含
),由
,线段
围成的平面图形
的面积记为
,设
,
.则
的图象为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/0a90fb77-06da-4c06-b65d-3c1ffe4bd8d9.png?resizew=131)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29c05f6a46fa397b8aacecf2cc15e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6be6c2edc0699b9a6fe549fda5bebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88efcc38c1452850117b2f15859bc86a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3105bd82be20cc7540d68aa81fb0cb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/0a90fb77-06da-4c06-b65d-3c1ffe4bd8d9.png?resizew=131)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 下列说法正确的有( )
A.已知函数![]() ![]() |
B.幂函数的图象与坐标轴相交,则交点一定是原点 |
C.扇形的圆心角为60度,其弧长为![]() ![]() |
D.命题若![]() ![]() |
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4 . (多选)古代中国的太极八卦图是以同圆内的圆心为界,画出相等的两个阴阳鱼,阳鱼的头部有阴眼,阴鱼的头部有个阳眼,表示万物都在相互转化,互相渗透,阴中有阳,阳中有阴,阴阳相合,相生相克,蕴含现代哲学中的矛盾对立统一规律.图2(正八边形
)是由图1(八卦模型图)抽象而得到,并建立如下平面直角坐标系,设
.则下述四个结论,正确结论是( )
![](https://img.xkw.com/dksih/QBM/2021/1/6/2630461899374592/2633188182204416/STEM/a3bd39b9-222a-4261-992f-9dac4e8697b8.png?resizew=448)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://img.xkw.com/dksih/QBM/2021/1/6/2630461899374592/2633188182204416/STEM/a3bd39b9-222a-4261-992f-9dac4e8697b8.png?resizew=448)
A.以直线![]() ![]() |
B.在以点![]() ![]() ![]() ![]() |
C.![]() |
D.![]() |
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2021-01-10更新
|
351次组卷
|
2卷引用:重庆市铜梁区铜梁中学2021届高三上学期半期考试数学试题
名校
5 . 已知半径为
的扇形面积为
,则扇形的圆心角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f52d57ad45fe8f0f5fcf38c0187b48.png)
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2019-03-26更新
|
706次组卷
|
3卷引用:重庆市西南大学附属中学2021届高三上学期第一次月考数学试题
6 . 已知
的圆心角所对的弧长为
,则这个扇形的面积为_______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b58a82c1c20651a1a9418b701b7cb87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d7b4bb12628d5ed455d814b8aafa1f.png)
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7 . 若
,则
是第( )象限的角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ac86bbfd7937039e8b61e81fd895a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.一 | B.二 | C.三 | D.四 |
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解题方法
8 . 如图,某城市有一块半径为
的半圆形(以
为圆心,
为直径)绿化区域,现计划对其进行改建.在
的延长线上取点
,使
,在半圆上选定一点
,改建后的绿化区域由扇形区域
和三角形区域
组成,其面积为
. 设
.
(1)写出S关于x的函数关系式S(x),并指出x的取值范围;
(2)张强同学说:当
时,改建后的绿化区域面积S最大.张强同学的说法正确吗?若不正确,请求出改建后的绿化区域面积S最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c758c27bec97c234d1d818c40f3d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f619c4acc590fe683776fe4f6c1e8533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed01d1ff5a7f21a68fb3a1e5c7f393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf126cfed85fa9b7720ec6f7b0008dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ec46ba5eab5c6e3f9a7788eda30a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c228c3936a5048dcc49ad82046a67dc.png)
(1)写出S关于x的函数关系式S(x),并指出x的取值范围;
(2)张强同学说:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f69b1da32b0a596a3909d6b9095069.png)
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2017-10-15更新
|
555次组卷
|
3卷引用:重庆市梁平区2018届高三上学期第一次调研考试数学(文)试题
11-12高三上·宁夏银川·阶段练习
真题
9 . 如图所示,单位圆中弧
的长为
,
表示弧
与弦
所围成的弓形(阴影部分)面积的2倍,则函数
的图象是 ( )
![](https://img.xkw.com/dksih/QBM/2011/10/18/1570323815522304/1570323820584960/STEM/65053efe373f48b48a8883d3738c2d72.png?resizew=122)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://img.xkw.com/dksih/QBM/2011/10/18/1570323815522304/1570323820584960/STEM/65053efe373f48b48a8883d3738c2d72.png?resizew=122)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 弧长为
,圆心角为
弧度的扇形,则扇形面积为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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