《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}
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