名校
1 . 有曲线
,直线
所围成的图形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 如图4片花瓣由曲线
与曲线
围成则4片花瓣的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/ea544915-ef70-4b1c-a9f7-e11f82024c00.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d82ec195bcea0a0472fc59d4d02c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3469e18477d909aab6e2ac239a49d47.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/ea544915-ef70-4b1c-a9f7-e11f82024c00.png?resizew=161)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 在区间
上任取两个数
,
,方程
有实根的概率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf531917655da96f19d2561608324f0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-08-21更新
|
286次组卷
|
3卷引用:安徽省淮北市树人高级中学、萧县实验中学2020-2021学年高二上学期期中联考理科数学试题
4 . 如图,已知二次函数
,直线
,直线
(其中
,
为常数);若直线
与函数
的图象以及直线
,
与函数
的图象所围成的封闭图形如阴影所示.
![](https://img.xkw.com/dksih/QBM/2021/4/19/2703260604178432/2786862538465280/STEM/6a1ecfdf-ee4e-4a53-9f8d-7fb0123be9bc.png?resizew=226)
(1)求阴影面积
关于
的函数
的解析式;
(2)若过点
,
可作曲线
,
的三条切线,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c49668d4d8454911f4755dff94b6bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd3c1acf6286f3b6c1976ac455ceaae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85240ce753d4e1390f75e385f95b69ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6f02e273a6982e057ab934506403ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2021/4/19/2703260604178432/2786862538465280/STEM/6a1ecfdf-ee4e-4a53-9f8d-7fb0123be9bc.png?resizew=226)
(1)求阴影面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b485c7be521c58dd2565dce28e723.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5343f6dee6d12906b09ff03166350a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac5c639aa5cd63ab86b2b0d9a23c998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b485c7be521c58dd2565dce28e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 我们要计算由抛物线
、
轴以及直线
所围成的曲边区域的面积
,可用
轴上的分点0、
、
、…、
、1将区间
分成
个小区间,从第二个小区间起,在每一个小区间上作一个小矩形,使得每个矩形的左上端点都在抛物线
上,这么矩形的高分别为
、
、…、
,矩形的底边长都是
,设所有这些矩形面积的总和为
,就有
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/58a58585-2072-4fd8-aa69-9740f5b39d6a.png?resizew=200)
(1)求
的表达式,并求出面积
;(可以利用公式
)
(2)利用上述方法,探求由函数
、
轴、
轴以及直线
和所围成的区域的面积
.(可以利用公式:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6a2eba56d4f2d1670b0256b8d86b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c350e626893ba12c028b6c8bc4ea8d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc7040ad5dd0ebafac0e9f23bd54812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b176553f857ff6e6641d79c9e83be10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7d1d8923879a6fdaf839d87aafeff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf343294853aef9035ed93efb09ec2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6a2eba56d4f2d1670b0256b8d86b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12c3439a5339dd2ae4c91e52466f3c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/58a58585-2072-4fd8-aa69-9740f5b39d6a.png?resizew=200)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ee4f17114ccb24847c7228ae17ba8c.png)
(2)利用上述方法,探求由函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.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/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28ccf6acba4afeb5983cc1bc575d13b.png)
您最近一年使用:0次
名校
6 . 如图,阴影部分的面积是( )
![](https://img.xkw.com/dksih/QBM/2021/5/10/2717905187340288/2771118897799168/STEM/ec05dc48-c847-4faa-88b4-403485b57e07.png?resizew=193)
![](https://img.xkw.com/dksih/QBM/2021/5/10/2717905187340288/2771118897799168/STEM/ec05dc48-c847-4faa-88b4-403485b57e07.png?resizew=193)
A.38 | B.37 | C.36 | D.35 |
您最近一年使用:0次
2021-07-25更新
|
234次组卷
|
2卷引用:安徽省合肥市肥东县第二中学2020-2021学年高二下学期期中理科数学试题
名校
7 .
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1ec8ff3ff89327763aa86625c91a39.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-09-11更新
|
898次组卷
|
5卷引用:【全国百强校】安徽省马鞍山二中2018-2019学年高二第二学期期中素质测试(理)数学试题
【全国百强校】安徽省马鞍山二中2018-2019学年高二第二学期期中素质测试(理)数学试题安徽省黄山市屯溪第一中学2020-2021学年高二下学期期中理科数学试题(已下线)专题3.1 导数的概念及其运算(讲)【理】-《2020年高考一轮复习讲练测》(已下线)专题3.1 导数的概念及运算、定积分(精讲)-2021届高考数学(理)一轮复习讲练测(已下线)1.7 定积分的简单应用-2020-2021学年高二数学(理)课时同步练(人教A版选修2-2)
名校
8 . 抛物线
和直线
所围成的封闭图形的面积是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fceb9eb57ca36db386ffafeda213599c.png)
您最近一年使用:0次
9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7c0576b12609d61333ffb93675de4c.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7c0576b12609d61333ffb93675de4c.png)
您最近一年使用:0次
名校
解题方法
10 . 已知复数
的共轭复数
,且
.
(1)求
的值;
(2)若过点
的直线
的斜率为
,求直线
与曲线
以及
轴所围成的图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0617418256a8029f81352328208aa5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52de67da0bdd4e11335a0415656ab19d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2020-06-17更新
|
368次组卷
|
8卷引用:安徽省安庆市白泽湖中学2020-2021学年高二下学期期中理科数学试题
安徽省安庆市白泽湖中学2020-2021学年高二下学期期中理科数学试题河南省郑州市中牟县第一高级中学2019-2020高二下学期第五次月考考试数学(理科)试题山西省运城市2019-2020学年高二(下)期末数学(理科)试题(已下线)1.7 定积分的简单应用-2020-2021学年高二数学(理)课时同步练(人教A版选修2-2)江西省赣州市南康区唐江中学2020-2021学年高二下学期第一次月考数学(理)试题江西南昌县莲塘第三中学2020-2021学年高二下学期第四次月考数学(理)试题河南新乡市省辉县市第一高级中学2020-2021学年高二下学期第一次阶段性考试数学(理)试题河南省郑州市励德双语学校2021-2022学年高二下学期第一次月考数学(理)试题