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1 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bf611971df56c8d366281b3a9f2675.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ec05a1e3efd4f2f891a150d1bf23ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bf611971df56c8d366281b3a9f2675.png)
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2023-01-09更新
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312次组卷
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7卷引用:江西省宜春市高安市高安中学2019-2020学年高二上学期期中数学(理)试题
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2 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a91bb32bc1cac88ef6223ad37c26c5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a91bb32bc1cac88ef6223ad37c26c5.png)
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2022-09-15更新
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505次组卷
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4卷引用:江西省2022-2023学年高三上学期11月阶段联考检测数学试题(理)
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解题方法
3 . 二项式
的展开式的第二项的系数为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e9c2666de3db812c820efb433d8a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535e95d241e9c978c10355dcb07da256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbc9e7a3014927232e3f883cfc5494a.png)
A.3 | B.![]() | C.![]() ![]() | D.![]() ![]() |
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2022-09-11更新
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384次组卷
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3卷引用:江西省抚州市金溪县第一中学2021-2022学年高二上学期第一次月考数学(理)试题
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4 .
的展开式中最大的二项式系数为
,则直线
与曲线
围成图形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f869a67ed5359496825905c845fbdf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf776925521fded264cc8df7ca0d5873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-07-25更新
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151次组卷
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2卷引用:江西省赣州市赣县第三中学2021-2022学年高二下学期6月月考数学(理)试题
5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3d0a961b36b47a0358d4e19a025f52.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3d0a961b36b47a0358d4e19a025f52.png)
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6 . 已知
为偶函数且
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c663cbb82abe93ec0abf1e78f5c0748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60543a87b40d897573b5f4ba9ec2958b.png)
A.0 | B.4 | C.8 | D.16 |
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2022-06-10更新
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324次组卷
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4卷引用:江西省抚州市南城县第二中学2021-2022学年高二下学期第二次(月考)数学(理)试题
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7 . 定积分
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702747374e13a09a61d6eb282e185dc3.png)
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2022-05-02更新
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453次组卷
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2卷引用:江西省临川第二中学、临汝中学2021-2022学年高二下学期期中考试数学(理)试题
8 . 已知函数
为一次函数,若函数
的图象过点
,且
.
(1)求函数
的表达式;
(2)计算由直线
和曲线
所围图形的面积S.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ae1b361135eaae8d172cb7aa490d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9324ff1a40070a4a21acf36920afe14.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)计算由直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
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9 . 已知
,则
展开式中的常数项为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f163df90dff192d71514e87c75c791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f519cb77b4d3a1376027fcf2ea9236a.png)
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2022-04-22更新
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292次组卷
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2卷引用:江西省丰城市第九中学2021-2022学年高二下学期期末检测数学(理)试题
解题方法
10 . 阅读以下材料:球的体积公式的推导,球面可以看作一个半圆绕着其直径所在直线旋转一周所得,已知半圆方程为
,由
得
,则
根据以上材料,解答下列问题:椭球面可以看成半个椭圆绕着其长轴所在直线蔙转一周所形成的旋转体,定义椭球的扁率
为对应椭圆的长、短半轴之差与长半轴之比,通常用扁率
来表示椭球的扁平程度,椭球的扁率
越大,杯球愈扁.
![](https://img.xkw.com/dksih/QBM/2022/4/2/2949364570054656/2950829731799040/STEM/ac094f64-dba3-4f6b-9a35-be35fd17ae04.png?resizew=342)
(1)若椭圆方程为
,试推导椭球的体积公式:
(2)如图所示的椭球是由水平放置的椭圆
绕其长轴
所在直线旋转所得,其中旋转
得到椭圆
,椭圆
上的点
刚好对应椭圆
上的点
,椭圆
的中心为
,以
为
轴建立空间直角坐标系
(椭圆
在平面
内),点
关于
轴对称的点为
,已知椭球体积为
,椭球扁率值为
横坐标为1,纵坐标为负数,求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6696cf0a2d052069b54e63c919fb6588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6696cf0a2d052069b54e63c919fb6588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fd054d376e77dea6d0adec9b37be6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2472cc540217f7988136fc11d768d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e2034f7ecbb1eed26f22181fb5501b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/2022/4/2/2949364570054656/2950829731799040/STEM/ac094f64-dba3-4f6b-9a35-be35fd17ae04.png?resizew=342)
(1)若椭圆方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
(2)如图所示的椭球是由水平放置的椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bf02afcbc78a5c9f50c4633601e69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f26c08a083be136da4d7a2b9ece4354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bcbab0d54194f2046e3e89d3d2785f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40833e1ee3d330f1999a4d22895cd96f.png)
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