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西南大学网院17秋 计算机数学基础作业资料(资料)

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发表于 2017-10-12 01:40:38 | 显示全部楼层 |阅读模式
谋学网
计算机数学基础8 |* j8 U4 R$ j7 o; R# E* X; l" c
, c+ _' v4 N- }/ \# k) ^  Y6 j+ n
单项选择, q- a& e9 O3 a
1、设A, B, C是三个事件,则A, B, C都不发生可表示为 ." m1 ^$ y& F% k+ Q$ K( C  a% j
    image/png;base64' {" r8 c* K9 ~7 a* a
    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"/>
2 w& S5 u: K* ?$ x; B$ J- X    D.?<imgsrc="data% [! G8 V  B* y( p; y0 K2 F
单项选择题% C  w9 L6 r# a# }
2、空间直角坐标系中,与xOy坐标面距离为m(m &gt; 0)的平面方程为 .
5 S, t* d3 e$ I+ `! S    image/png;base64
1 d+ C% q8 n: K5 L* o# k: h+ d    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"/>
9 e3 x6 ]' ]. [& ]    D.?<imgsrc="data4 [( ?9 w' U$ ^: b. f/ o0 u3 M" X
单项选择题3 R2 Z# ~# P  }- _, o/ \! u
3、下列不定积分正确的是 .
- u# r1 [/ I; |    image/png;base64
) q# _& ~& |" b2 v* |1 ~    iVBORw0KGgoAAAANSUhEUgAAAI4AAAAkCAYAAABfegKAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAPASURBVHhe7Zw7cqNAEIZ/7VkkBS6dAJ0AOdnIqTMI7UQ32GwTCKVs042cLDqBdQKVAsNd2O5hEA8PMMPiLZfpr2rKw2OYpvmZ7hlsL3ICguDIN/1TEJwQ4QijEOEIoxDhCKMQ4QijEOEIo3AXzinEYrGgskWc6X3C7HAUzgnh7qjrZ1xTXRVmh5twTi+4RCl4zZDLwdf7hdnhJJzs7aJrwtxxEk56PeuaMHeck+OzU2JDOREl0uFJb340WYzt/+zvi3AKebJTFj3poUlQnx+dhYPLGz7lZIpne6tnStkFa/QMeYfklrfm+S/gkQS0u+Bupc8zQSdbkwTI4UV5qrc/HWmUe3RLQaK3Z0maR16QD7ogCfi3Ijp8leTBwHN2GHEySG78ReCQzssqQdI9M96ssdRVE+6h6nyFKcvJ4m0tToaU3TD1HKesZ4i3+ryhZMS02Fju28YqZDbicz1UWbT9d2r3wqVxP61jrT7N/qrxgfZnf36TnzxE+y7V+DgMrbXokccCHgIpVMEwDHKIqA1taRTROTTc0eW5iyCp6oCXR3yiGip1fYA08nJ6O24/S9qhU22r/vQOoqttnbJdZzG2K/xxO9S4n+KYd7s57bvSVqO/zNjY32QoVLVsGcl0wjE5uJ5ztPMPtW0nnLJt9SAIU/t2H4yp7RSwULqcr0TU8lPdNl23EoKF/W7C1y+xTd89uIcqE8snvKYRvOOuGEqt58OWny2W93gg723WVdQthtsNarvMGNpOQd9iqPHYck3W8qSUgoyLvyzs9w/ljIhLChpxQLKo9n3AEv80wmHYGWwkyR/kEGvtWJDFP3HdeDi+VBddrtVjAD+HPkxt2zTXMQzFcDOq/458r7DtCFOXNwFY+svGfjd8fKcu6YLv8yoF5WbhcA41jXAoS49LK/wD2BfqzZoCSggfscdh/wBPryFlcYh49R0BjTnPK0NiWdLVtmVa8401FNMb63P/R+zqT5z8EPLF/T299ayHyrYs/oGjF0Hlo7b+srTfFX9Pox3b/i4p5wnMI7B/6p1RKcgxlljkOI2YWk+I64XykqR+vjnPUckgH7/F4rL/erzv6kOX3rZT0Oq/kfNUfb47ZvRXhd29d8Hn9iXHJS37VLFpV+Dw5zE8vVzhGRHSVwtFCl8ah1C1hArdgkBMlxwLs8JJOKs7isyCQLiPOAPfMIR54CQcXp/wer+1C3PBQjjFx8liEewOD/cy3ghWwllBpTa8PP6yxpPoRiDk35wIo3BPjgWBEOEIoxDhCKMQ4QgjAP4CNqmqUn8vooYAAAAASUVORK5CYII="/>& p% P) i! A( `1 W
    D.?<imgsrc="data# p& U3 G' M  O) W. a
单项选择题
- G: M1 y4 Z" Y  v3 N4、设f(x)的一个原函数为lnx,则 .
2 T) R1 |! `4 p6 u- h+ B    image/png;base64$ k3 {  i( F  o( A5 c- z
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    D.?<imgsrc="data, w6 d) x! x6 k% c
单项选择题
3 i/ \- C+ G1 b+ ~1 Z5、设z = x2 – 2y, 则= ( ).
, }4 ^2 H+ _" `" x: `    A.-2y/ N4 A" E: Y6 N8 d* Z1 c& y
    B.-2
, \6 J  F) A+ D' _    C.2x
* w* h5 U( ]: }1 L8 U4 e    D.2x-2y& ^8 w& K" E7 E
单项选择题: [9 t* C, s/ ?: {! r
6、下列级数中,发散的是 .
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% Q. u0 G/ ?; n5 y0 ]; A8 B    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"/>, l! m, }' L, ~! _
    D.?<imgsrc="data" g- T* h( d; l: Z: E
单项选择题( i0 `2 N- ]5 L+ X5 r
7、设函数,求= .2 J$ T# s0 z; J# a- Q& m
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* d9 d6 H* l; S" X) L    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"/>4 I" f" N4 m; ?, U5 ~3 a) U
    D.?<imgsrc="data
9 F) Y1 j: L9 U# _; @6 y+ {单项选择题, {; v6 j# o4 C5 F/ V
8、设A与B是互逆事件,则下式中不成立的是 .. l/ H# m  N0 Y9 B
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"/>
8 ^9 J7 m- k* |8 n; k' A6 F    D.?<imgsrc="data1 D7 W* u9 T9 J$ b1 G' L, @) s/ }* r( {9 q
单项选择题
, m2 M; Q+ S/ |5 z: W9、数列0, 1, 0, 1, 0, 1, …. .
! ~! d9 i8 i; k% z5 x( a    A.收敛于0! e) b7 {9 g5 A1 W8 E& `# z; `
    B.收敛到13 s5 t+ Z( @/ \6 J! U: y4 \
    C.发散
9 |% F* L) Q9 }( |3 V9 w) U3 q    D.以上结论都不对
7 {' {; Y; ~& j9 ~+ i单项选择题
% \0 G& L, u2 ?" _10、幂级数的收敛半径为 .1 u" P; \3 w8 B+ z
    A.1/2
$ ~* t: B: j; C: O( p    B.∞' h' ^6 u/ q+ h& _$ D
    C.2  i) d; s5 p: H. U) _
    D.1
  ^" v- k8 F0 ~: q% ~" b单项选择题5 r; X+ q6 Z# d
11、微分方程的通解为 ,其中C为任意常数.
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    iVBORw0KGgoAAAANSUhEUgAAAIcAAAAxCAYAAADwdLpiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAPhSURBVHhe7Zw9dqMwEMf/7FlsF/t8AnwCO02qtOmgTJp0W26XRpR2t+1WqfAJ4hP4uTDchZWEwIA15sOEePH83lP4MrIY/TUzCBwnkYBhLPwwS4Y5g8XBkLA4GBIWB0PC4mBIWBwMCYtjlMQIFg6cRSDXusPiGB1b+M4UrzuzeQUsjtGxxDpJEAnXbHeHxcGQsDgYEhYHQ8LiYEhYHAwJi4MhYXGMlOhw/UTHDYlDTd748u/9svUdOE5WFgjU9ObWh79tYxv1WQerjVzdvWKa1dMF9SbYtxN6CeAlodm8O/T1I4FXtECUCFfug5uISG2KxM3WB+IGxBEm3iiFoTq3wXUZYZR0kSNt4wpZk0ELZDhbfXtY2for7MUblmb7rogDLJT/90KsKQPMZ5iYVUxe8EfssfIHCr5GJFZCT7k1WYrqVUovbl+F8hp9uMrMBZtidc+mVNoeCfd0zDYqM5dfbGe276Id6j1H+t0tr39A71EfVrQhio2RF+3ZjZKLiSpV33lWdxfSzs+r1nVmBk+Pubn1jVCyTlWGLnRwJATZFt2R8kuyZT114qi0pTFqQFFhqF/qxXGWCIWJaCV1mnTknBuwlciUGCgD28Snr8cY16w36mzz2ZPQzmk3ONJObia0Iul5l9rRF/U5x2SGOXY4ROlmHBwxe8mj4JewXGvR0qUQoOPj3qydYz2mrwfYH+X9nYzhn5GAu1mlt4+XYvnkAU9SHfMZfe3ldkeQngOy663t7pvTLfDl0oZ2CalMoN7xQCaP5ft0S6kYfzJT3XQduo7dAUa7JdL6N/iw9HneyUogquPksIcUCaWPOHjHYe5iY6usE0s8yq+UFRLzFzECn36TqyrSkygvl1bIE2rI4rYo31b1Qh8JqcU9yxDg6UpNXC+EFh3KCjmHKJymwoLVXcvwpPer0GLOjYRX0+66nEOShbWz0HrBLvqcmnp7orE4rk8c7ZAd0gojkKyURJy133Is7xxTKvE/zYmK+0911be5gTg0lfbpQp/XPCG+ngbikKYPv7IxfXiPe0HZahivobDnHGpyRr+5nL7F/PGlU1RLrKMn/J1e8QzgLlDPTFZAuB5uwtCIpEzubocc0cOOiv+L77EN/wsGhuSGHtkztwaLgyFhcYyNrW8mHQsJfrav5c8jOecYKXGwwPTwC9HP33rZZeqexTFW1HTE9BUQET47PgvjsDJWGjworIPFMVL6eFDI4hgjMgF9xhvWb09w90edhMaB33oGmsUxIlQSqu9KPh7TPEOFFqifJzhaLG1TD05IGRL2HAwJi4MhYXEwJCwOhoTFwZCwOBgSFgdDAPwDkj9Hz+FH3kwAAAAASUVORK5CYII="/>
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, V2 ^9 d0 O; S# Q, z  p9 A单项选择题
- I9 O$ d. g- u% m/ ~1 j$ t) g12、若,则 .
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13、等比级数收敛到 ' Z3 Y# n+ _/ F3 t% m% d; i
    A.48 b9 n1 {( A4 ^2 R) D3 l; g
    B.3
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, R6 c! O" c& B# w5 ], Q8 E6 r单项选择题
) {* Q* B3 q0 ~( S+ M2 B3 C14、微分方程的通解中有 个任意常数.  l; O! E8 c3 ?) a
    A.0
9 D% ?2 g- K3 ?* v/ T    B.1
/ i* f7 j2 d! w2 D- X) Z    C.2
6 o" t* B6 {1 r$ A0 X/ H    D.30 i. A' r* s3 B' q" v- _( O' J& a: s, O
单项选择题
5 ?& p  \* ^, E/ S15、微分方程的通解为 .
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16、设f(x)是随机变量X的密度函数,则不正确的是 .
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17、要使函数在上连续,则= .$ B6 p1 j4 ?' W1 r
    A.00 F2 u+ M1 L% {, I! @' ~( `! }
    B.1
4 h; X. B- x* ^" \: S( w    C.-16 w# p: w1 Q2 e8 [; X. W) O
    D.2
7 f! d1 y2 M* L0 j1 [单项选择题
% i1 n7 y: C3 h. s18、已知随机变量X的密度函数,则D(X) = .
1 V: k  A( a  x6 J    A.1/3
! C8 I4 e' ^5 D/ @3 ~3 N    B.1/16/ @: O% r3 `, x
    C.1/4: q3 q" T- i& y( Y8 B9 w2 q" e
    D.1/18" _, {, ^+ S% h' q3 g4 @
单项选择题, I& T; {4 ~1 \8 F( z* U
19、数列0, 1, 0, , 0, , 0, ,…. ,0, ,… .. ?( o7 M1 h- p( k4 w
    A.收敛于0( p5 M5 g1 w# p1 r+ H
    B.收敛到1
) D' L8 x% K4 ?3 Z6 O    C.发散5 J- ~* }* \* N
    D.以上结论都不对
5 H% E1 C6 x9 @3 v  S单项选择题
: h" n7 n9 A! V/ r- C0 c8 x20、不定积分= .
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21、已知|q| &lt;1,则极限= .
( Z0 o7 y# ?% g9 |2 ^8 K/ t' \4 A% ]5 v/ y$ Z( `. |& ]
谋学网(www.mouxue.com)
) k8 [) Z7 L2 @22、微分方程的通解为 .
4 x+ n4 V5 O$ u2 K
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23、级数的通项un = .
3 J+ ]! e, {1 l0 s, Q; N, g; b5 m( G3 w/ {& c: q8 }! Q0 V
谋学网(www.mouxue.com)
& `" i: L& Y+ p3 ^! v; |- H24、球心在O(0, 0, 0)、半径为R的球面的方程为 .8 w1 E0 V+ A6 \% N# k6 p

+ u  q' A# L* P. v1 v9 K. ?谋学网(www.mouxue.com)
$ r% o7 y$ `9 B. ]2 @25、设函数,则定积分 .2 ?. Z+ I1 u) m& N

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26、函数的定义域为 .- J, \7 ^* W5 T9 u5 o& k
# @+ f: {! A* |# c9 [) s$ e& r
谋学网(www.mouxue.com)8 z" y% U- R% U% I, S: d
27、不定积分 .+ H! j5 Y7 i6 f0 v, R

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28、设随机变量X ~ U[a, b],则E(X)= .' K1 C+ k% r: H+ w
0 i- ~9 Z, E3 ?
谋学网(www.mouxue.com)
0 ]% x4 x- u  P( N) ], w; T29、5个球中有3个红球,2个白球,从中任取一球,则取到白球的概率为 .4 `, V( l$ S- ^# r9 k1 O

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30、设是连续函数,则a = .. e* a/ F2 |. Y, A# U
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谋学网(www.mouxue.com)
5 T  [# x2 j2 N: H2 `, A31、 .
# K1 C& G) [1 h% c: ^
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32、由参数方程所确定的函数的导数 .8 q+ R. t$ O9 U

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33、微分方程的阶为 .
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34、设, 则= .
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谋学网(www.mouxue.com)2 @, |5 L+ D: C, J
35、抛物线在点A(1, 4)处的切线方程为 .
$ j8 o2 ^. p( z6 y# S% h& d4 `. ]# e6 K+ O
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36、曲线在点(e, 2)处的切线方程是 .; P; ?: W9 i& K: |2 |1 Z6 e6 s

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, q8 i: M0 n/ x) w; J5 s0 h37、方程表示的是 柱面.4 i# s5 v! ~2 Y- D4 \

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0 X  ~# u$ @9 `% E38、已知, 则f(0) = .
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谋学网(www.mouxue.com)
+ M+ H# `% }! t% y3 |6 T% R" v39、函数的微分 .6 z/ E3 j3 S6 b- f

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40、已知,则dy = .9 ]% ?2 x" [% N' _3 V
, ]7 r4 F% \8 D/ t0 D8 i
计算题
! h8 \+ t; u0 G- U41、计算不定积分.
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计算题
, A6 Q" j! H1 ?! j42、求极限.
: I! q/ n* M% H: Q/ X4 n2 }# A* P, l' C. P& u- u* ^# _
计算题7 v9 y6 }/ U' B% ^) }
43、曲线, 求在时对应曲线上点处的切线方程.
  {, y4 o9 }. b- K$ i3 T
; w3 c( C$ [( Z计算题
+ J* a/ b+ n/ }, n7 |/ X1 a: Z44、求积分
  t/ O5 Y$ V5 \. t& \: r' s0 f* U; i& `
计算题
' X  W& Y) ^; k2 C% d1 @+ {( v45、求函数的导数.3 d8 k0 |, G$ B7 V- c9 ~- v

- E/ Y9 M( R. B计算题# \, E/ f4 {( `1 A# {
46、求由曲线及直线所围成的图形的面积.2 M8 @$ G! X# E( f

+ T0 m$ ^4 p2 w% ]计算题
# Q1 P; H6 t( a. ^2 F47、求不定积分.: G" k! ]& i0 @) r7 `

: q7 `* h8 {5 \% N4 |2 y  J. ?计算题
2 n0 e, t# q; v) N" q# }3 T% B, O, y48、求极限
. V' S, A+ f  t; E' b) n
- h9 W$ Y. I$ d0 F0 N计算题
  ^8 n1 K3 K6 k# p; y9 }/ O49、求函数的定义域.- b8 e  I; S" l. f/ j  m
! v- {; k9 A0 f* T, s! ~$ p7 f
计算题
  K( T0 x! h7 v" |: x50、设有点A(0, 0, 0)和B(1, 1, 2),求线段AB的垂直平分面的方程.1 u3 Q& A: _8 E6 x* l

7 `1 r8 s0 J# ^& r4 M. A计算题
6 i: [: `9 ]" g( l( E51、设,求积分的值.8 ^9 `9 t/ p/ ~8 t5 Q7 M+ h

$ p/ m( l! o1 p6 Q" s6 K( j计算题
5 N' z' B2 t/ ~0 {% W52、求极限.7 \4 V7 H- u  L3 R" Y' U* V7 O
5 i. ?) m! ^; I' ~2 J2 c. x
计算题4 }1 f& E/ P6 b' r
53、计算.6 q3 n/ a2 L8 j: C, P

: ~  ?1 {4 g, D* Q计算题6 G6 \7 `& w. M/ ?3 l
54、求极限.
( d; g2 r# z% P* }4 q; Q8 x
" d; r: X* ^0 r; p: g8 C* d计算题
6 w0 w- V' c2 D9 t/ R% R# H' B* B" `; C) h55、设,求.
6 E5 E4 r( p$ {* p
. ]. G$ o* o2 s& \证明题7 ]1 R" B/ w& n, c
56、求函数的极值.
+ b! e0 L' e8 ?6 @+ x' o" T2 ~8 }) m+ M  c
证明题& J( N7 Y/ y( F
57、判断级数是否收敛. 若级数收敛,试求其和.( x0 F/ @, ^. x: Q" u" @/ b
& m  L& ]. C- U- p) {- \8 p! C  }: I- v
证明题' F; B) [, N  e+ s
58、已知,讨论a的取值.: T" R% n: ?. t. ~$ {
' w# B4 Q* ^" P
证明题: Y9 R7 `( z0 {5 ^7 R/ C- a
59、讨论函数的极值
$ W, S: j8 |+ @7 h, Q: H9 g$ f4 H" }  K9 q1 W' z/ \4 {! H
证明题
" \0 U+ s: W; b6 v60、讨论的单调性和极值.
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