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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3 G# v9 a6 U% i+ ?" D4 b
6 ]6 K, j* Q0 n- Z7 ~
单项选择$ y! P( c+ C& ?' n( B
1、设A, B, C是三个事件,则A, B, C都不发生可表示为 .) P3 c' g( ^( v7 M$ @
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  @( Y+ f% e) N' U" H: w    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"/>
) k# X! D; P' c6 ?1 w& X1 r' {    D.?<imgsrc="data
5 y2 A& K( r+ e+ _单项选择题
$ x% x% f; ]* s) |5 ^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 .! {3 n) P8 {, W& i: T/ a( F3 b2 j
    image/png;base64* e1 H" \' v$ R0 n' k; c# O
    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"/>* {  r* d( M) t" \4 t/ x2 k' R; z
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& _. [2 u' s' ?9 A单项选择题
4 v2 X$ q/ s$ v. s3、下列不定积分正确的是 .
4 O& X8 K3 L4 D& ~# u    image/png;base64; l+ D" a: j  p" e% x( m
    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="/>
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单项选择题  z3 i5 D9 l0 `( O6 I# C' k" q% {; ^  o( E
4、设f(x)的一个原函数为lnx,则 .* X# I4 l; i! X* Z) k3 r2 D- G3 r
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    D.?<imgsrc="data
# u# X4 f8 I; r5 d/ P0 C8 `单项选择题! F1 P% H6 e. H& K) R
5、设z = x2 – 2y, 则= ( ).
  l1 R0 K: ?' r; J; P. x    A.-2y# d. k0 D1 X2 D. W/ |- ^
    B.-2
& e% \& ^& T/ @    C.2x
1 t- Q0 o) ]2 b    D.2x-2y
# t% T' R3 g0 H& z+ e单项选择题# A3 b' M7 ~2 ~/ t
6、下列级数中,发散的是 .8 ?; d% ?# p) }: V0 A
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    D.?<imgsrc="data
- o" K1 N8 N: Z! Z单项选择题' Y# v2 M0 ^6 W" ?( _
7、设函数,求= .
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$ \1 s2 y$ C: I% T    iVBORw0KGgoAAAANSUhEUgAAAEoAAAA7CAYAAADcrhwVAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAK5SURBVHhe7ZoxcqswEEDX/yx8FxmfAE6QpEnlNh2U/o27lL9LA6XT5Qau8AmcE3hcAHfRX8kSJh7HbCaS5i+zb0YDCIbJvKDVruSZQkAY5Zc9CiOIKCIiioiIIiKiiIgoIiKKiIgiIqKIiCgiExG1g2I2gxm2rOpsn18mIaqrGnjCklWpGhZ/XlGbfyZXFO+KDJr1HlaJ7fDE9GLU3RIePUvSTEvUroDtfAUBPE1IFEqabZ9gc2+vfaNjFHfaMtVxtm95bW945P8XVedWQKrK9qIvLZXrCg2bWa+rMvh9fIH27q85qmBj7AuMLg60pUrxz037zyoufIJ58ghLNLWYh5jTxmEjqqte4bhI4W0bIu8eh4conPqfYQ2b9RLSQwO6muuqAgKVddexQzAAtcrx9T+Zqvtpv39Jq8r0lALEjlUBZz1d0T8A1CpcEhgR2SkmMq1aLyC3Ren6ySyIZefA6fqyygRVjU4GT8/pVtj1oNNiWmEu3HkHVWafO93ggx56Y5igigHVHT+hE8FBKdGWJYbxUyDXr8/r83lfhpgSZFCSMIA2693Kiu29qwKNqItzjbnmJYoWo25lxckK9m0J6dvDN4fUBxxbe3qF81D+WfMFSdRoVqxl6a+zxkGGwnyEH/wnemm+GBc1lhV3FVROzP0GtKtDEzNljgRavwo5K3YxyjXz/DCADxvGpXr4PJ84JQknEUk4iTAUdd4V1i1W3spMlJa0tbvCCjCO4iTrKoHA6BjFhra92EzQk0acCYHXF5Uknzc3uwYO+Yv37fNr8A3mmL9lzwDvsRa77JfFij7HMy3HARgelqIcTliMZWHWeVSyegec+KLAWhSqgvkizl4f7xLGBfR9mJ/6DOH1RfVL07ZFkqSRopgI8xgVDxFFREQREVFERBQREUVERBERUUREFBERRQLgH1+huQcw9Q7QAAAAAElFTkSuQmCC"/>  f) X. ?( I& n1 u: I+ F  \% i5 ^
    D.?<imgsrc="data3 P+ V" P5 O6 s0 Q8 P( r
单项选择题1 q0 z' U9 G( e# V
8、设A与B是互逆事件,则下式中不成立的是 .
2 |! r. L( \, t0 k- N4 a& @8 G    image/png;base64
$ j1 T2 T; k5 S& Z2 n# p. D    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"/>
$ |0 [  |  e, {% f$ d- ~    D.?<imgsrc="data
+ a% p4 o) H/ X1 z5 W9 ?单项选择题- ]$ ]6 L# ~1 D+ r- F/ B
9、数列0, 1, 0, 1, 0, 1, …. .
% |' `) J4 {2 A7 o- g6 j4 N    A.收敛于0
8 t/ U0 K; p" m    B.收敛到1
0 i- A! K9 \* g' p' G4 B  t    C.发散
; D* N! Z' u4 g    D.以上结论都不对7 Y) V3 r7 N+ d- _. t( p
单项选择题' A  B  c! @& e: E
10、幂级数的收敛半径为 .: c1 v* @2 M6 y/ y( k5 z9 \( L
    A.1/2+ Y* n% k7 a, c3 A
    B.∞! x* \& L# |9 _: \* L' M- e4 _8 g
    C.24 x" l0 X: r+ m% K. i2 [
    D.1: H5 K) k, w4 b5 M; P
单项选择题; M6 H; o1 f9 D4 D9 f+ b6 i
11、微分方程的通解为 ,其中C为任意常数.
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单项选择题
5 n6 H1 Q" N8 ?1 \8 a4 f2 z12、若,则 .
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单项选择题  u% Z. t+ S$ b
13、等比级数收敛到
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    C.25 [5 F' C/ Q" ^5 f( Y) Q
    D.1% V, ]% v7 b7 P9 F2 }
单项选择题
2 D- y/ a( z  v( f( X- T14、微分方程的通解中有 个任意常数.
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    B.1
6 h1 \/ @% T# Y  F    C.2
! k7 n. p" I8 R" J" J    D.32 [9 A" ~7 y) z9 W$ k+ s
单项选择题& y6 P7 E1 b) C
15、微分方程的通解为 .  Y  U5 H" E& q. z4 m# L
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单项选择题! |+ o6 R3 ]4 Y' X! u
16、设f(x)是随机变量X的密度函数,则不正确的是 .8 b/ n! ?; p- E. Q8 m
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单项选择题1 S# c* s; J8 G2 h" z  _; _# g2 V
17、要使函数在上连续,则= .
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    B.1
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    D.24 \, _8 j0 c$ {1 e
单项选择题
1 x, B4 e5 O& r$ q) a) d18、已知随机变量X的密度函数,则D(X) = .0 F$ `( H8 A7 Y# _* j. [+ L) [* @
    A.1/3  T# R+ E1 F7 l! S8 L9 O2 }
    B.1/16
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    D.1/186 T, }$ T" P) Q  i, i
单项选择题) S3 ]+ }/ f# k. W3 s* {3 c7 t
19、数列0, 1, 0, , 0, , 0, ,…. ,0, ,… .6 V/ f8 X, t; L& h& \$ j, k
    A.收敛于0& Q1 X; e2 B3 [1 G, I; d
    B.收敛到1
2 \& ?9 X5 |( p- ^8 g$ T" e0 m    C.发散# L( n) n% w/ Q0 n" Q% ?
    D.以上结论都不对0 j; Y  W6 T: k) O
单项选择题
& T% U* _7 q2 k) w20、不定积分= .
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0 n% l; S9 R- R' W! E/ `& |21、已知|q| &lt;1,则极限= .
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, D) _# [  Q9 D, S22、微分方程的通解为 .- @1 H5 r1 O# J& O; C

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' u3 F# t8 f' B, {# J' w1 _# x23、级数的通项un = .
6 f* z, {- Y8 Y% W* E( f  y5 K& p
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/ X- z. f! D" _0 h& E: S: T4 Y24、球心在O(0, 0, 0)、半径为R的球面的方程为 .
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) ?8 k5 {. ~: z: ?; x25、设函数,则定积分 .) s, g) l2 P" j2 F! `
( a) I- z) @* s+ X& k$ B% D; T
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26、函数的定义域为 .6 e7 t  `7 h4 {2 T/ y2 r5 c# ^

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% _7 H, n" _- w$ R27、不定积分 .
2 e! x( r2 Q6 i0 \7 `: W0 z: I" }0 I2 L+ {# i  q/ ^& t+ s
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28、设随机变量X ~ U[a, b],则E(X)= .
. @( z, Y, c$ z; e
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* k; U5 P1 o/ m  e- N6 I+ d9 v6 v9 a29、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 .
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30、设是连续函数,则a = .9 ^7 [7 T  Z# I9 [

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31、 .
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* @0 U9 a7 b. [4 _- a+ E32、由参数方程所确定的函数的导数 .
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谋学网(www.mouxue.com)6 o. t3 V8 _9 d
33、微分方程的阶为 .
+ b! T/ c6 s7 H% S! K, r5 q& n7 U" Z4 K3 ?' r+ X
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34、设, 则= .- O3 N# b& L! b; |
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4 w! V1 s* X! l2 T3 r35、抛物线在点A(1, 4)处的切线方程为 .& }) i3 y& Q! J6 q! s' M  Q" Y

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36、曲线在点(e, 2)处的切线方程是 .* h2 C- c7 R8 x) M' w, w  K
8 Y# M* m  `4 L" X' s+ v2 m
谋学网(www.mouxue.com)& _9 h* ]/ f  D9 A" v+ r' W
37、方程表示的是 柱面.- F$ I+ ^6 k5 T6 B+ x  i3 y

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# o- M0 Q8 [: b) C* h38、已知, 则f(0) = .& h- Z6 v( d/ D9 u, K9 x3 @. R+ k" F

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39、函数的微分 .  H9 O- w0 M: {7 E- E, w2 t- t" n

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40、已知,则dy = .$ v0 F1 ^# l+ m. |

5 d. n# w7 b( ~$ W0 s计算题
9 _' S# r) h2 ^41、计算不定积分.
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5 E9 J' O& w( P/ M9 c9 L计算题% X3 S) R9 w3 W1 C; W" N8 {3 [& o" R
42、求极限.  A% P  F" s% t: v. }. g9 V
- ?- _* k$ j+ s# ^: ~
计算题
: G3 o- Z* g* D, D" }8 E) ]43、曲线, 求在时对应曲线上点处的切线方程.1 l; ^# T. }' G# Z2 M& _
3 r9 H" R  V- E0 H6 {
计算题
! ~  b& M, U0 x3 `8 b: K44、求积分
. R8 Q6 U2 _# ?+ L0 J
1 G. Q) a. N4 ]7 V6 H# e# O计算题! T8 ^+ S5 s3 v1 F# F" q! i0 }
45、求函数的导数.
0 X$ i& [1 d4 [3 M6 X1 y& i1 w# O) h" B/ Y
计算题& e9 b% b0 Z; T: _# R6 L' B
46、求由曲线及直线所围成的图形的面积.
6 x: q& G; u, f: |. F( z3 z; n/ Q) H' M3 f
计算题
  |; c. ], A9 G47、求不定积分.
7 V, n; [  i; f  S: ~& ~1 y% k6 S1 E# m" Z) i9 n1 a
计算题2 q. Z: W$ O' q+ t4 @
48、求极限
/ W9 [0 u& m7 R: }/ y! m, B9 }/ _' w) K$ c: |9 ?/ w
计算题4 w" U" t+ B+ i# G7 t
49、求函数的定义域.
" F  C8 d% w9 H
6 i. Y, _! q8 p+ N计算题
5 `2 h% ?( f; \+ a# G+ p50、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., ^( g) Q2 T# s9 X

  f+ E* Q& p; A4 Q8 a计算题
( o8 A% Q' }( d51、设,求积分的值.
8 t9 R: r6 a/ S9 j8 I% e8 e( [+ f/ v: L% {: Y
计算题
8 J1 y* K0 v9 j8 Q, W! `52、求极限.9 D7 d) C. B# n4 J: \. R

7 l' u" u, Y* |: {# f' u, I  j9 d计算题1 j2 a- w- t' u  l6 j
53、计算.
  F: d- L) g+ Z/ B4 h5 u0 e6 X0 g5 K# ?8 d$ N3 X/ }
计算题; W( l( f0 B" o. |8 w. q
54、求极限.
' L: ~( P* C+ W( q* B; r9 V, X& }( |
2 `8 [- M1 M2 z5 g9 `计算题
' v/ L. o. e: j; @5 z7 b4 h6 V55、设,求.! o- U; K* _! A! s4 u: l! K
& V0 D2 P3 }, O- W. T5 k& G
证明题
0 v' r7 E  Q! Z; R# K( a8 u! q56、求函数的极值.
2 l8 ?4 X  x8 v1 C0 s- y* B  e  {7 @& P9 W7 }
证明题! H( v9 M. s4 ?' \& S% O! f2 B
57、判断级数是否收敛. 若级数收敛,试求其和.! |6 L# M' z( q/ J; @' w& k3 D

6 H; m% N1 h8 B& x) C2 M证明题
, B5 P% F# Z6 z/ K58、已知,讨论a的取值.
( o- b& e8 n( C( l, ~
8 ^. ~: |( ?; }8 I; w证明题
# p& R; }" m0 B: N. n59、讨论函数的极值4 d+ ^& b+ U: l! n' w$ F0 f

* K: q3 z. ]4 P4 F; X, T证明题
4 m5 Y; i  E" J; X- }$ q& D" i5 S60、讨论的单调性和极值.
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