2018年成人高考专升本高等数学二真题及答案解析

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20

设区域D={(x,y)|10≤y≤x2,0≤x≤1},则D绕x轴旋转一周所得旋转体的体积为

  • A.<img src="//img1.yqda.net/question-name/e2/b5b34644dc3dd6531ffe92c3a4e190.png" width="18" height="42"/>
  • B.<img src="//img1.yqda.net/question-name/30/424ca64568f92ca1d2a145e42f4815.png" width="18" height="42"/>
  • C.<img src="//img1.yqda.net/question-name/10/43ba3fcc73bcae17755963f8a772e9.png" width="18" height="42"/>
  • D.π
21

若二元函数

  • A.2xy+3+2y
  • B.xy+3+2y
  • C.2xy+3
  • D.xy+3
22

若f(x)为连续的奇函数,则

  • A.0
  • B.2
  • C.2f(-1)
  • D.2f(1)
23

  • A.<img src="//img1.yqda.net/question-name/30/afbd32312d4ebfe4261f0dd89ade75.png" width="83" height="42"/>
  • B.f(2x)+C
  • C.2f(2x)+C
  • D.<img src="//img1.yqda.net/question-name/de/370b53c0e6f0581ecc3c13e914c064.png" width="74" height="42"/>
24

曲线在点(1,3)处的法线方程是

  • A.5x+y-8=0
  • B.5x-y-2=0
  • C.x+5y-16=0
  • D.x-5y+14=0
25

  • A.ln|2-x|+C
  • B.-ln|2-x|+C
  • C.<img src="//img1.yqda.net/question-name/67/da1331ee2f4c4a3ad452ee98ac6054.png" width="94" height="44"/>
  • D.<img src="//img1.yqda.net/question-name/8f/a3654d80d960058b8976b86ff6512e.png" width="82" height="44"/>
26

若函数,则

  • A.<img src="//img1.yqda.net/question-name/35/5e6fa21840eacffe4d4e52a32b87ee.png" width="27" height="22"/>
  • B.<img src="//img1.yqda.net/question-name/4e/d1089caee24f46643053766a8f01db.png" width="36" height="22"/>
  • C.<img src="//img1.yqda.net/question-name/2d/c077d3ac6a9cda99cc5ec50f1153b0.png" width="44" height="22"/>
  • D.<img src="//img1.yqda.net/question-name/98/5a62e499c779989ed78ab0d2d8f82a.png" width="18" height="22"/>
27

若y=1+cosx,则dy=

  • A.(1+sinx)dx
  • B.(1- sinx)dx
  • C.sinxdx
  • D.-sinxdx
28

  • A.e
  • B.2
  • C.1
  • D.0