吉大网院151621 高等数学（理专）课程作业答案
高等数学（理专）一、单选题 (共20道小题、每题5分、错选、未选均不得分)
1.(5分)抛物线http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002367/image11.png，http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002367/image12.png与http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002367/image13.png轴所围成的平面图形的面积等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002367/image14.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002367/image15.png；
[*]C. 1；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002367/image16.png.
是否存疑
2.(5分)微分方程http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000227/image7.png的通解中含有的相互独立的任意常数的个数是（ ）.
[*]A. 1；
[*]B. 2；
[*]C. 3；
[*]D. 4.
是否存疑
3.(5分)设函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image13.png在点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image6.png处连续，且http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image14.png，则常数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image15.png等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image3.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image4.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000376/image16.png；
[*]D. 2.
是否存疑
4.(5分)设函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000374/image7.png在点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000374/image8.png内连续，则常数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000374/image9.png分别等于（ ）.
[*]A. 0，0；
[*]B. 1，1；
[*]C. 2，3；
[*]D. 3，2.
是否存疑
5.(5分)下列不定积分不正确的是（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003485/image8.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003485/image9.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003485/image10.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003485/image11.png.
是否存疑
6.(5分)下列各组函数中，线性相关的是（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000223/image15.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000223/image16.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000223/image17.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000223/image18.png.
是否存疑
7.(5分)设函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000373/image5.png在点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000373/image6.png处连续，则常数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000373/image2.png等于（ ）.
[*]A. 2；
[*]B. 1；
[*]C. -1；
[*]D. -2.
是否存疑
8.(5分)设函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002371/image25.png在区间http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002371/image19.png上连续，则http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002371/image26.png的值（ ）.
[*]A. 小于零；
[*]B. 等于零；
[*]C. 大于零；
[*]D. 不确定.
是否存疑
9.(5分)函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000379/image28.png的不连续点（ ）.
[*]A. 仅有一点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000379/image29.png；
[*]B. 仅有一点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000379/image30.png；
[*]C. 仅有一点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000379/image25.png；
[*]D. 有两点http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000379/image30.png和http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000379/image29.png.
是否存疑
10.(5分)定积分http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002373/image30.png等于（ ）.
[*]A. 0；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002373/image31.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002373/image32.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002373/image33.png.
是否存疑
11.(5分)下列微分方程中，是二阶微分方程的一般形式的是（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000216/image1.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000216/image2.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000216/image3.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000216/image4.png.
是否存疑
12.(5分)已知http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003486/image12.png，则http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003486/image13.png等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003486/image14.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003486/image15.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003486/image16.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003486/image17.png.
是否存疑
13.(5分)已知http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000372/image1.png，则常数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000372/image2.png等于（ ）.
[*]A. -2；
[*]B. 2；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000372/image3.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000372/image4.png.
是否存疑
14.(5分)http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003472/image1.png，则http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003472/image2.png等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003472/image3.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003472/image4.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003472/image5.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003472/image6.png.
是否存疑
15.(5分)设定积分http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002374/image34.png则常数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002374/image35.png等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002374/image36.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002374/image15.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002374/image16.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002374/image37.png.
是否存疑
16.(5分)设函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image18.png在区间http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image19.png上连续，则由曲线http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image18.png与直线http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image20.png所围成的平面图形的面积等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image21.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image22.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002369/image23.png；
[*]D. 不确定.
是否存疑
17.(5分)设http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000219/image14.png是二阶线性常系数齐次微分方程微分方程http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000219/image15.png的两个特解，则函数http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150827000219/image16.png（ ）.
[*]A. 是所给方程的解，但不是通解；
[*]B. 是所给方程的解，但不一定是通解；
[*]C. 是所给方程的通解；
[*]D. 不是所给方程的通解.
是否存疑
18.(5分)不定积分http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003487/image18.png等于（ ）.
[*]A. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003487/image19.png；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003487/image20.png；
[*]C. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003487/image21.png；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150818003487/image22.png.
是否存疑
19.(5分)设http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000380/image31.png，在http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000380/image30.png处连续，则http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000380/image26.png（ ）.
[*]A. 0；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000380/image32.png；
[*]C. 1；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816000380/image33.png.
是否存疑
20.(5分)定积分http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002372/image27.png等于（ ）.
[*]A. 100；
[*]B. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002372/image28.png；
[*]C. 200；
[*]D. http://otsstatic.chinaedu.net/ots/jlu/quesimages/DX150816002372/image29.png.
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