川农《经济应用数学(专科)》20年6月作业考核【标准答案】

《经济应用数学(专科)》20年6月作业考核-0001

试卷总分:100  得分:100

一、单选题 (共 20 道试题,共 80 分)

1.设函数{图}，则x=0是函数y的(? ).

A.极小值点

B.极大值点

C.最小值点

D.拐点

2.{图}

A.2

B.1/2

C.1

D.0

3.设{图},则f(x)=(? ).

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img16.png” width=”51″ height=”29″ alt=”” />

B.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img15.png” width=”51″ height=”30″ alt=”” />

C.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img14.png” width=”54″ height=”30″ alt=”” />

D.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img13.png” width=”51″ height=”28″ alt=”” />

4.{图}

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img108.png” width=”46″ height=”55″ alt=”” />

B.1/2

C.1

D.0

5.设y=F(x)是可微函数，则dF(sinx)=(? ).

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img69.png” width=”79″ height=”27″ alt=”” />

B.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img68.png” width=”174″ height=”32″ alt=”” />

C.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img67.png” width=”176″ height=”23″ alt=”” />

D.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img66.png” width=”125″ height=”28″ alt=”” />

6.{图}

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img152.png” width=”125″ height=”34″ alt=”” />

B.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img151.png” width=”73″ height=”28″ alt=”” />

C.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img150.png” width=”196″ height=”59″ alt=”” />

D.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img149.png” width=”150″ height=”59″ alt=”” />

7.函数f(x)为偶函数，且{图}存在，则{图}为(? ).

A.非奇非偶函数

B.奇函数

C.偶函数

D.不确定

8.f(x)是定义在实数集上连续的奇函数，则{图}

A.f(1)

B.2f(1)

C.2

D.0

9.当x→0时，{图}的极限是(? ).

A.1/3

B.1/2

C.1

D.0

10.设函数{图}则x=1/2是函数y的(? ).

A.极小值点

B.极大值点

C.最大值点

D.拐点

11.由方程{图}所确定的隐函数y在x=0的切线方程为(? ).

A.y=x+1

B.y=x

C.y=2x+1

D.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img76.png” width=”159″ height=”33″ alt=”” />

12.当{图}时,{图}；当{图}时,{图}，则点{图}一定是函数f(x)的(? ).

A.驻点

B.极小值点

C.极大值点

D.以上都不对

13.已知{图}，则k=(? ).

A.1

B.0

C.-2

D.-1

14.已知A={a,b,c},B={-1,0,1},f:A→B使得f(a)+f(b)+f(c)=0，则映射f的个数为(? ).

A.8个

B.7个

C.6个

D.4个

15.一个帐篷下部的形状是高为{图}米的正六棱柱，上部的形状是侧棱长为{图}米的正六棱锥（正六棱柱顶部与正六棱锥底部的正六边形相重合）.则当正六棱柱底面边长为(? )米时，帐篷的容积最大.

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img32.png” width=”13″ height=”17″ alt=”” />

B.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img31.png” width=”13″ height=”17″ alt=”” />

C.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img30.png” width=”25″ height=”34″ alt=”” />

D.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img29.png” width=”35″ height=”31″ alt=”” />

16.{图}

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img177.png” width=”214″ height=”40″ alt=”” />

B.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img176.png” width=”211″ height=”37″ alt=”” />

C.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img175.png” width=”111″ height=”35″ alt=”” />

D.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img174.png” width=”81″ height=”34″ alt=”” />

17.下列函数在区间（-∞，+∞）上单调递增的是(? ).

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img90.png” width=”59″ height=”32″ alt=”” />

B.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img89.png” width=”36″ height=”29″ alt=”” />

C.cosx

D.8-x

18.如果0,1是方程f(x)=0的两个根，函数f(x)在[0,1]上连续且在(0,1)内可导，那么{图}在(0,1)内(? ).

A.至少有一个根

B.没有根

C.只有一个根

D.以上结论都不对

19.函数{图}在[-2,0]上(? ).

A.有增有减

B.单调递增

C.单调递减

D.不单调

20.{图}

A.<img src=”/NEWEXAMSYSTEM/UploadFiles/PiLiangDaoRuShiTi/3372/391006/17101716181441_images\17101716181441_img183.png” width=”117″ height=”33″ alt=”” />

B.arctanx

C.π/4

D.0

二、判断题 (共 5 道试题,共 20 分)

21.函数{图}在x=1处可导.

22.函数{图}是偶函数.

23.{图}

24.由曲线{图}与直线x=2,y=0所围平面图形绕y轴旋转一周所得旋转体体积是π.

25.{图}