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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
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1、设A, B, C是三个事件,则A, B, C都不发生可表示为 .
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3 R) l" E7 D! o: z! C9 y    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"/>
0 O# p( M& _1 W4 T$ q: ]. w    D.?<imgsrc="data
- @: L% q0 c7 I' r, H' s0 R单项选择题$ G. e4 j; z4 s# T
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 .# X3 N0 G5 r7 M, v; U1 H
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"/>  T! P. Y' l; }" m* C
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3、下列不定积分正确的是 .2 t" }1 [: ]$ J# o3 W
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3 P! V2 D; A3 N. I7 e    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"/>. L. J' K* B* K- T4 G' l
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单项选择题
, ^! H9 t) h' c6 }* K* Z( v- \1 v4、设f(x)的一个原函数为lnx,则 .# u4 g7 Y5 |: E+ W% ~" y2 Q
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  C* x7 |2 {% S1 n8 G. R5、设z = x2 – 2y, 则= ( )., a( [! O8 b$ m7 H
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/ A4 ]% n; w5 q0 m6、下列级数中,发散的是 .3 p( I* S* H3 U7 g/ g% D- p
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4 _9 S+ {) y3 `- u; I1 f' T& h7 [    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"/>
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- l1 N% |5 X$ @- t1 p. E单项选择题
. b/ Q* B9 Q, R5 X% w7、设函数,求= .
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2 l8 c& ~. g. {/ X, c! H( V    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"/>5 Y2 o8 n. ^/ F/ f" \+ ~6 |5 l2 i
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    image/png;base64  M0 B" Y1 m. ]2 l# ^( j( B
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" L- B) H* e' X. j1 m. ^单项选择题
$ k6 W( w; j, `7 |$ w+ F6 S* B9、数列0, 1, 0, 1, 0, 1, …. .
4 _4 P% C' l# T& k    A.收敛于05 O1 v7 L0 D0 W  T7 Y
    B.收敛到1$ e& A" `1 E+ E1 _7 ~
    C.发散! n6 a" s( u  m8 ]2 L, W1 ~; q% D1 y
    D.以上结论都不对* ]$ v8 _" s" A$ g  G+ J
单项选择题
  ~; i9 y, k, c  X5 Z8 c( S1 b10、幂级数的收敛半径为 .
! w. B$ o9 g  z  W- x$ z    A.1/2
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    C.2
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2 N1 S  }$ r4 P6 J) D( u  P11、微分方程的通解为 ,其中C为任意常数.
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13、等比级数收敛到 5 T/ W0 U: K3 ]# |& v- A. d
    A.4
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2 M- Y# w3 P; X% M14、微分方程的通解中有 个任意常数.
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    B.1
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    D.3
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15、微分方程的通解为 .- v- z& `6 Y8 |" P/ ]0 o, ?8 [2 r
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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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0 Y8 ~3 @7 [0 O# ]9 \单项选择题
; I9 S$ G, ^* m, l17、要使函数在上连续,则= .
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  {% y( k0 N( L9 R! K18、已知随机变量X的密度函数,则D(X) = .* H3 n8 c2 r& r1 q, l0 f
    A.1/3
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    C.1/44 h* S3 X6 W, O% ?
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    A.收敛于0
& M+ ^, O  f% `8 ?) A( m( |# f    B.收敛到1
6 c$ d! D7 Q/ d  N% g+ @" T$ s    C.发散
/ u+ U0 g0 D- @    D.以上结论都不对% V" y$ @7 r2 U' R, S
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20、不定积分= .# B2 w2 ~, B5 O
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) n, U" X1 g9 B! k# C+ e' ?- P# V. G6 F21、已知|q| &lt;1,则极限= .
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谋学网(www.mouxue.com)
: V. O6 `2 g! ]" u* z( R22、微分方程的通解为 .6 X: K+ M. A; ]: h0 K; p- o# A
' ~/ c: U7 Q/ f8 M5 F4 z4 w. Y' Y
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23、级数的通项un = .1 B" a  v! S. T

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24、球心在O(0, 0, 0)、半径为R的球面的方程为 .
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谋学网(www.mouxue.com)
3 R* j0 i1 Z* t25、设函数,则定积分 .
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26、函数的定义域为 .
4 R; n% o% [: j( O: q
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27、不定积分 .
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谋学网(www.mouxue.com)6 N; h+ k: g( F4 ?5 `
28、设随机变量X ~ U[a, b],则E(X)= .
+ r! P* j. e5 C" T6 f+ w0 F: [" K
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29、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 .
0 V) \; h- m& c
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30、设是连续函数,则a = .  V& K! d0 r" z# u8 a+ N4 |

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31、 .
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32、由参数方程所确定的函数的导数 .  L8 d8 H+ Q/ {  D3 ^$ Y+ r
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33、微分方程的阶为 .
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34、设, 则= .
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35、抛物线在点A(1, 4)处的切线方程为 ." Y( q- s5 l# _1 P$ w& J% c+ q

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3 q( Z+ k$ n; M. z: I36、曲线在点(e, 2)处的切线方程是 .  b+ Z( y& P# n8 ], d
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, |; U4 D6 C3 W% s2 |) P37、方程表示的是 柱面.
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谋学网(www.mouxue.com)
& {* F( _# \7 r% D38、已知, 则f(0) = ." E* V+ A% e* }6 O! r" H6 ~) s
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: C- \' m) z/ a/ k: y* r/ {  j3 _/ c6 m) i39、函数的微分 .
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40、已知,则dy = .
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" D" M. Z7 t( p' @计算题
9 V* e& q) c. y$ L8 p* j+ g4 X$ F% ~  v& ]41、计算不定积分.2 F3 ~( k0 O' W/ ?
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计算题
  C6 a5 e/ ]$ t  T  d# X. @  i42、求极限.
9 U9 S- `" T! M4 U
+ ]; x. E/ _& U  Z: }2 j" B计算题
3 @' O7 p1 p% {/ ^# ~43、曲线, 求在时对应曲线上点处的切线方程.) _8 T6 l+ _7 ]8 u) K
7 e  @. i; T4 r% S  X4 y
计算题: z. a* O. K4 [6 o/ x' B+ D( @# }
44、求积分5 Q) h# e& h; H- z8 a; ]5 ~; G
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计算题
# H. E$ _6 p' e( Q( E4 l45、求函数的导数.
  s+ h0 @" b$ i$ Q2 v) R2 v- G9 s0 T8 U' ^" Z# H
计算题8 x6 k# r3 c8 H: I' {
46、求由曲线及直线所围成的图形的面积.
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  ^& y$ r& j) c) i计算题% M% M& k/ _) }& v5 W
47、求不定积分.- Q- l* i) i: \, s

' u' @/ b& r1 i. Z$ s1 K2 p  h计算题
# U! x  M5 D8 w8 c0 A48、求极限& I: x! T/ C: M! n

6 D; R8 u/ `6 B( l- J& h计算题
! J; P5 P  }; S49、求函数的定义域.8 O5 g5 S& _- @& R) H3 \& n; {

4 I1 g' \$ E( P% {. g计算题/ }) H/ W; n: _7 {- d2 c
50、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.# K3 h4 X* ~) R( T

! j% d0 ]( t. t& G0 n计算题$ e4 g3 b6 }% P, \9 O+ p9 l, K0 _
51、设,求积分的值.
( g. j, {/ Y2 c8 |" Y# b$ r0 v5 p" W- q3 h
计算题
  C/ F" Z  Y% k2 \. S6 z1 p- B* W3 C0 M52、求极限.
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计算题# y7 B' H* D8 `' Z  |  F
53、计算., W; M4 Z, W' C" L; D: D

( B4 G; W( N! m) c6 X$ o8 ~计算题
8 K4 ~) l  X& a4 S2 ]54、求极限.' H# s* q0 L* z& J0 E7 a
" _" f" A* o1 z' T1 Q  i  Q* j
计算题
$ l% H, n4 {5 D: c55、设,求.+ J5 |  M' Z" a) D$ ^- j
/ a6 j. r, a/ D2 j
证明题
/ X. A/ p& d8 x( x6 D56、求函数的极值.
3 e1 e" Q: C1 @8 i* ]& \9 S' z
6 y+ v* c1 q6 V3 q" U1 [) u证明题
7 D) h5 K, @1 _" y5 D& S- p$ N, i57、判断级数是否收敛. 若级数收敛,试求其和.
1 f$ o: c. T: q' k
6 _+ m6 a$ |/ G证明题2 B/ D3 Z6 s% N- Y. |
58、已知,讨论a的取值.
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; @* z$ ]3 K9 p; ?7 V* n$ L& I证明题. b4 T; f( ?- U
59、讨论函数的极值# q0 U6 Y$ f; C) L% A

, m' X& j* J5 D/ K; [2 k证明题
2 u1 v3 i$ k! ^& b# |: t60、讨论的单调性和极值.
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