名校
1 . 如图,在半径为
的半圆弧
上取一点
,以
为直径作半圆,则图中阴影部分为月牙
,在
上取
个点
将圆弧
等分,设月牙
面积的平均值为
,若对于
均有
,则
的最大值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/11/4305818b-c021-4af5-8519-416e4b742555.png?resizew=188)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5631bc01b998a4b3fabd9e131699dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea009e37b1aafc86ba71572e4ad0087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394aee19f94c2b70fcce1d69b31dc7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967f7a900c70023bb6d3ad0103702777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0a9523f2084cf17b8656c11ab1d95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d46ee002abdeb29d9d848d5471f69ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a52871c0183fe1d2bd37160e350a50b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/11/4305818b-c021-4af5-8519-416e4b742555.png?resizew=188)
A.![]() | B.![]() | C.![]() | D.1 |
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2 . 积分
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef2348fa6f855bb3d62725e1491f6c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知曲线
:
与
:
在第一象限内交点为
.
(1)求过点
且与曲线
相切的直线方程;
(2)求两条曲线所围图形(如图所示阴影部分)的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafae84e7fe39dc5b694c39405201d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)求两条曲线所围图形(如图所示阴影部分)的面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/2021/4/12/2698335416811520/2808213395636224/STEM/66a1b3e0-d535-4111-8540-dfad39e50796.png?resizew=176)
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4 . 已知
,
,
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c90122c62d7b1132cfe4987a85554ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e074b558c489e0c29129ecd543b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a47331b40b424ef53b972c46e00c3a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ace74bfb716753490ebe0e740ff5baa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 函数
的图象如图所示,则阴影部分的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/315cae2c-75b1-42c4-91aa-170969c1ba5d.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c184c17e35b98fe8094cebe9522e1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/315cae2c-75b1-42c4-91aa-170969c1ba5d.png?resizew=163)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2015-2016学年福建省上杭县一中高二下周练理科数学试卷贵州省贵阳市第一中学2018届高三上学期适应性月考(一)(理)数学试题安徽省蚌埠市第二中学2019-2020学年高二下学期4月检测数学(理)试题甘肃省武威市第十八中学2019-2020学年高二下学期期中考试数学(理)试题江西省上饶市2019-2020学年高二下学期期末教学质量测试数学(理)试题宁夏回族自治区石嘴山市第一中学2020-2021学年高二下学期第二次月考数学(理)试题智能测评与辅导[理]-导数的运算、几何意义及定积分内蒙古赤峰市元宝山区第一中学2021-2022学年高二下学期4月月考数学试题河南省焦作市温县第一高级中学2021-2022学年高二下学期6月月考理科数学试题河南省实验中学2021-2022学年高二(下)期中数学(理科)试题青海省海西州都兰县高级中学2021-2022学年高二下学期3月月考数学(理)试题
6 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7a30e5ff062e68e2e3bdd98587f0b5.png)
________________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6224beb8430d6dd662c1ca0d2c1a255e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7a30e5ff062e68e2e3bdd98587f0b5.png)
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2021高二下·全国·专题练习
7 . 在求由
及
围成的曲边梯形的面积
时,在区间
上等间隔地插入
个分点,分别过这些分点作
轴的垂线,把曲边梯形分成
个小曲边梯形,下列说法中正确的个数是( )
①
个小曲边梯形的面积和等于
;②
个小曲边梯形的面积和小于
;
③
个小曲边梯形的面积和大于
;④
个小曲边梯形的面积和与
之间的大小关系无法确定.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd6fa085038a0e4c9bb3c2682797afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6442784dd1c130ebff4ebc742295dba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
A.1 | B.2 | C.3 | D.4 |
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8 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a8a6d4d5925d484b4d239feee7ab63.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2020高三·全国·专题练习
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9 . 定积分
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f084f9d8f283833ca6278b62efbb6cda.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 定积分
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b9886b46f127a1359e37950f629ddd.png)
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