1 . 已知二次函数
.
(1)求
的图像与两坐标轴所围成图形的面积;
(2)求
的图像与两坐标轴所围成图形绕
轴旋转一周形成的旋转体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7c7debdf9905b44ff41d808a09d1ff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/611effe9-340c-4c1e-a078-d7c7323c4a83.png?resizew=137)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
2 . 已知
展开式的常数项为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7d36a7b8be4b5742e495b7e2de7c2e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866963ea0c6eca07e0b3a7814b751f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7d36a7b8be4b5742e495b7e2de7c2e.png)
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3 . 由曲线
,坐标轴
轴、
轴及直线
围成的图形的面积等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e7e79ac17c51c7a4aaf9d59ec9beb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a2ec02caf837c6e7e0b76dd9acc7f0.png)
A.1 | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
名校
4 . 已知函数
的导函数为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b7ef1d92c32d4e8cc5594e0dd7c07c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11e537875f034326e48f4179c4f5794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b7ef1d92c32d4e8cc5594e0dd7c07c.png)
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解题方法
5 . 已知
的展开式中的二项式系数之和比各项系数之和大129.
(1)计算
;
(2)求展开式中有理项的系数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83086d7353173cd41dd2b867a7921ea4.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c26c6ba9130e4c656f0ed68b57a3f.png)
(2)求展开式中有理项的系数.
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6 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3d0a961b36b47a0358d4e19a025f52.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3d0a961b36b47a0358d4e19a025f52.png)
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7 . 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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2022-04-07更新
|
595次组卷
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2卷引用:云南省2022-2023学年高一上学期期末数学模拟试题
名校
8 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1206d6b028e6978e8e4dc786cc708074.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-02-27更新
|
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5卷引用:河南省南阳市2021-2022学年高三上学期期末数学(理科)试题
9 . 已知
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3483cf736c09b5655297522b7dc6da9.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172014fe535f3d3095bfc9cf9a51de6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67343da6514ee265743b042e13a0768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3483cf736c09b5655297522b7dc6da9.png)
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10 .
的值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd88bebb7d93904d19474191ca80989.png)
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2021-12-15更新
|
741次组卷
|
5卷引用:江西省南昌市第十九中学2021-2022学年高二上学期期末考试理科数学试卷