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计算机数学基础
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% Q' i; R1 O% z单项选择题
7 o! z1 G6 g! [5 H1、设A, B, C是三个事件,则A, B, C都不发生可表示为 .
2 J% U0 |9 u7 P: {& G+ S- Z image/png;base64
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单项选择题( a/ r% Z7 \- h
2、空间直角坐标系中,与xOy坐标面距离为m(m > 0)的平面方程为 .
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单项选择题" n; W& g4 n" Z) s+ t0 L
3、下列不定积分正确的是 .
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2 v) \ n5 \& O) A单项选择题
' \3 r& [& ]3 O1 q4、设f(x)的一个原函数为lnx,则 .
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# o9 F& u! q: C2 Q0 r! m) Y; r单项选择题+ _' k/ |$ t$ R1 C( B) q& G' }' P
5、设z = x2 – 2y, 则= ( ). i+ [8 l3 D& C1 S! K5 \! o
A.-2y% j, ]$ o$ |2 F, q3 V- o
B.-24 d5 ]5 P9 n% m* H V; {( r
C.2x* P4 s/ ~+ n$ S* S
D.2x-2y
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6、下列级数中,发散的是 .
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7、设函数,求= .
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* Q$ E l4 |" `- f" ^单项选择题* S" ]2 V/ w8 {3 @2 i; H, s
8、设A与B是互逆事件,则下式中不成立的是 .& V/ ~+ h9 d/ f T$ a* X- T$ z9 s
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单项选择题
7 I$ J5 J( D; ]/ F# z9、数列0, 1, 0, 1, 0, 1, …. .
+ x! w* w2 R4 r/ R A.收敛于0
& ?- M6 c& G/ z! a$ L; o: z$ s B.收敛到1& l( @$ v# ?& J
C.发散
2 B" j5 d6 |) Q9 y( C D.以上结论都不对9 E* A m" a( ?2 ~# f5 W- o
单项选择题
% x; x8 W& w3 @1 I6 e* t) z10、幂级数的收敛半径为 .
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B.∞" i v! V2 r$ D2 C
C.2
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! I) o$ `; S9 O5 e$ P单项选择题
# f4 Z: _, b! `7 p7 e, _11、微分方程的通解为 ,其中C为任意常数.
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"/>3 w+ i( v& h+ S9 ]0 z6 Z" H
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: } j/ j+ K1 I, {12、若,则 ., i* f' h# \6 V( C8 ^
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"/>
# Z' c. n8 Z5 V% a: }6 t单项选择题
4 D2 v# ^7 ?* P$ N# n# V' Y13、等比级数收敛到 - z* |! r$ `! Y1 |) F" [8 O
A.4* x7 L m+ W7 Z$ B/ k1 Y+ i
B.3
4 X8 G. @4 W( m( J! ?$ U1 u0 s C.21 U7 T6 r8 w; q: M
D.15 N# [! k0 Y/ d) j( o: C
单项选择题
. w! o; x2 O5 K4 H7 m2 g6 K14、微分方程的通解中有 个任意常数.; F8 r* ~& a& G' j8 A& R3 z6 v
A.0# ]/ k, }( ?9 `& v1 D9 k
B.1
7 K3 r: Z+ F* \( H* U V C.2! v4 ~6 p6 i. Z- Q7 x# n6 d! V
D.3
9 J+ D/ C1 \ ^- m& e+ A2 l单项选择题) u7 v7 i/ H+ U; V+ q! b
15、微分方程的通解为 .
T+ P9 L2 ^6 B# M d- s' } image/png;base64
$ G. }5 G0 {2 i 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"/>
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单项选择题5 T7 O9 w, b+ [9 x j3 h! S( N
16、设f(x)是随机变量X的密度函数,则不正确的是 .
+ E- Q- }1 s# I) D0 C8 Y image/png;base64. w7 q- T$ b2 b0 Y; Y" u
iVBORw0KGgoAAAANSUhEUgAAALUAAAAoCAYAAAC4q7s0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAVYSURBVHhe7ZwxeuI6EMeHdxag4MsJ4AQkDVXa7UyZ6nVb7gFMCR0tFc3iE4QT8FFg7uKnGUnGsmVJ2LD7oswv8RcwZjQz+mskjJ1BIQCGiYh/1F+GiQYWNRMdLGomOljUTHSwqJnoYFEz0cGiZqKDRf0dyZYwmK3gqp7GBov6OzJfQPr+BkP1NDZY1N+R7ALn8w8YDAawzNS+iGBRxw4uNYR4B4MZrNR6I9vvABZbKPIUTvv4VM2ijpoMlq8b9fgI5xz/ZnCZbGE9F4uP/AwwGdGrMcGijplsD6c0B7xmDbf1HPcBjD9wNY2CB/hJj+OCRR0x18tJPaowusAvWo78gkm+BtR5bLCoIyY/H9WjCsMP+KTK/QkRFmmiv6jLDyL1bYkznUG2FPv/4vnR62pm+Kg/+Zv7bx+o+nGF1UzanFkM6jafffbhKBfSD0AsV1SOmvHga83+bhJ6nOC6glnX/OBNAr3J02IqTCUH9bzIi3QKBUxT8UhySMznjyRPpwXcGndzSAqAaZEajhyKRPg/NXcG4Wv7kNTbqqDy1qXdEB6Xc8yPigPzV7VJ+UzEEYFQzI6cIGRT+G5oKpzHiNoSGHV2uU+KpouDLmQbIvi7DMsBdxMSPr+jUxRhbWPcbtvPHOyPso127APPH58VErbnfY1CGc5DRE3Jq7VuJrQupH6QbRFwV3skSPIN/fJUjRp3tY2D3dkrakbr0nNelO2+onZU4nax+/HNcH9Z1M0qrKtYdZ9N+Jqy6uG0lIokWjtCdVLHQA3K6S1U0N3axpiTg8wPtdeIS772qMFuon3uUEmJW8xyq9tB3y35s+VW76vGb6nWumBUN8p3qE1Ff1GXDVa3WgJa11EqcaVSHJ1caae3qFU7wXY6ta3FrHLRVnnItl14tk42NqczfUUtaS1GDr8RXYnbK7LZB9RORaA69upb/TYlvUVdd6YBBt/yejNhsiMc/hI64G4VDpOZFEmj7TCC28a4DfuugXTnIAviEaJu90vOrg7bahC350naptdtRc9WBLw2JT1P6WWw34hJwXXF13wNxRbgR/1UTraE100CB/qaS3H9DbtjAgvPNwLzNQ1G2IK8KMd2yswOnlLaw6JYw78TkZ7NPuz0UoXQtjORmKQayPUCJ5g2v5WmU1fok/rG7/8E+ezvDyvDN3gXKX4Z+0+GX3/v4Agv4D001CZJuyu2EdZCvSq3Veku1dM3HUlkhS6PusN3F/a2a20JmvEiMua2yqNnhdbNGXP/Sk2xtc3C3uUHzoaufqnMAmTLX6n9NiW9RG3vKBtNwZrvlQFiR+EHK/H7WKwd4BZUL2pLj/ap+ok+9Ba1zzfss5aiIOKn96Ew1aBAQRrHkmi1b7r/K77WRR1iU9FN1KrBsmK41tSEdNpIEAlN28BgLIFVkMLQx1s26+C6DRbcbu2b+31nQbq0bVRZq2+S8MJwLz1FTX3szgv6Xu3TMk9lPNqH5uCgY424631S2wJsavotP4KRDj+l7744Txe1t+DYaYrOBvZrlyUcvq/jYAvgD4laJemJgXxJ1Gz1rMFOA+YOUZdCNpYGHgIqusnzC9wfEzVCSetYOWJDDvIuVS6ce0WtB9n9xSe08j63Qmv4v55GDF4JONq9Q/75Ee1Ntjb4eurYeRlLQatLOWerVfjln18UFnXEDMcvMKVvezJYjs7wU0zKW9jBJllEeceLhkUdHepifrq6fgLvb0NRpPflrVs3occLizo6RoBXAMDmFQb7Md2yhTeN0zfLuAR5PZHQY4Y/KH4D8DY6+k8J0wQS2IifNOoPjyxqJjp4+cFEB4uaiQ4WNRMZAP8Br2UHS/TpOUIAAAAASUVORK5CYII="/>
+ T0 C3 C4 O9 h. f1 G, C/ c D.?<imgsrc="data
; [+ s0 K$ C5 P. ^单项选择题: q& e% C' k3 C# \( ?0 t
17、要使函数在上连续,则= .
; N# z1 v0 U W# ^ A.01 v5 c2 r9 z% |7 s% O# t" i9 `3 Q
B.12 X& J. V; w( X; r9 h1 M. |& x D0 b a! Q
C.-1
3 O* A# r6 V$ w. ~2 } s0 d D.2' U: N+ F' C- ?4 r. C8 h
单项选择题' x! {7 J# G' f4 p x1 ~+ ^8 K/ y
18、已知随机变量X的密度函数,则D(X) = .! o# b& T! k! Q3 U7 \ c
A.1/3
5 g4 Q9 ?6 F# K6 t) Z! ]8 _$ a B.1/16
$ N. I& u: J5 a( w# O* S8 f2 z C.1/4
* x9 O m' [3 s7 V) @ D.1/18
+ s+ P: {1 q" @- ?7 n单项选择题
- T7 G, Y2 t# E4 l8 _3 p19、数列0, 1, 0, , 0, , 0, ,…. ,0, ,… .
, h& e; v) I0 l) h0 V D' I A.收敛于0* ~+ J C# d6 C
B.收敛到1
; z3 L8 @! G2 ^/ T% S2 p6 u3 h& | C.发散) T" t" m2 k' M
D.以上结论都不对# y- Z, b3 Y. H9 g) y
单项选择题' }, v5 A3 d( K0 C. G' ]7 u" d: B$ J
20、不定积分= .4 \; h6 w' ~ t5 j
image/png;base64
$ a" E; q" M M9 f# N( z 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"/>
4 Y! K2 P4 G2 I+ F& H6 l* B, y D.?<imgsrc="data
# K; n" N: c4 R谋学网(www.mouxue.com)7 J8 f0 k4 A4 p. l/ E
21、已知|q| <1,则极限= .
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22、微分方程的通解为 . |+ R4 _) b X3 h F( \& ^% \
) o: t$ M/ J1 o# A4 m谋学网(www.mouxue.com)
, x2 P2 A. c, W0 I& C/ y9 z23、级数的通项un = .
: {: `% F- w3 i$ O) X( B$ m Y0 u
3 `5 o& b0 u+ F0 `# q* K谋学网(www.mouxue.com)
+ d* w; }# @& n& y24、球心在O(0, 0, 0)、半径为R的球面的方程为 .' }+ \3 `, ?: Q) t0 T' v
2 @& |) w5 Z- i5 \; g
谋学网(www.mouxue.com): ]' w* k" b, j$ [5 @+ L
25、设函数,则定积分 .! U& e. R( l. @/ C" ~$ M( E
) k0 E8 W f: _! l8 D
谋学网(www.mouxue.com)
, S7 T3 x4 l e( D0 ~26、函数的定义域为 .; d/ t ~8 h, x
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% C$ @) y2 P* Q f4 J) A# d- L27、不定积分 .
; I3 q8 _. t: M- v1 _2 V9 ^: I, | `, o, ?8 N, c# _
谋学网(www.mouxue.com)
z/ t/ Z. @; j& e$ R3 x8 F28、设随机变量X ~ U[a, b],则E(X)= .
: e1 i7 o4 t& S) b* x
" |9 G& [9 N1 c$ i谋学网(www.mouxue.com)) d' q, I$ z# S0 i1 m
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 .
: ^& B( Z+ Y+ c! }+ @% T: g5 X; O0 b f/ ^. ^
谋学网(www.mouxue.com)0 u, }' b% f2 R0 u5 H6 p0 T
30、设是连续函数,则a = .
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谋学网(www.mouxue.com)
" S- f6 ~! C& x; k31、 .# g7 x6 g* c' I3 E" Q
% @* ` h; B, V0 U& C谋学网(www.mouxue.com)$ ^" K7 ?: W% S/ A
32、由参数方程所确定的函数的导数 .: h1 U: n+ G8 s# @6 a2 ^' |
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33、微分方程的阶为 .1 W: Z- H$ N! A% D* \$ b: p
4 P+ p+ N* x) C! N
谋学网(www.mouxue.com)
9 t1 Z" w) |* Z0 \34、设, 则= .
+ m. V, T# ^% N, {
: z2 T9 I% S2 z谋学网(www.mouxue.com)
4 P# P' \5 [. g) d1 |; l0 S35、抛物线在点A(1, 4)处的切线方程为 .
2 b# }" p; a5 e. n
) ]' I1 y5 I$ }' y3 y2 d谋学网(www.mouxue.com)6 X5 D/ q2 q9 d
36、曲线在点(e, 2)处的切线方程是 .
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! e8 i, x) F! }. Y. ]" H谋学网(www.mouxue.com)
: h/ |3 n8 k- ` s5 {: q/ E7 P37、方程表示的是 柱面.9 U) `" u, s; O( }2 S# R
6 p! G7 S+ h, v! x3 z3 H
谋学网(www.mouxue.com)3 i' x2 ?, A7 h3 j
38、已知, 则f(0) = .& r3 Z; V, b" K0 W S
0 _: d5 Q* g: G谋学网(www.mouxue.com)# P" r+ y- J" N" G
39、函数的微分 .6 u3 {2 S# r$ Q. _) R3 ~
) t4 Y+ s/ w# h谋学网(www.mouxue.com)
+ ^- [( F0 t% Z2 T+ s40、已知,则dy = .$ S2 L3 g+ z, t! ?
( J( k: E& k$ n3 s# e计算题
( q1 l, Y4 R/ N9 k. `41、计算不定积分.
# b0 Y7 H0 f0 b% ?* c) s% w4 N
0 H V M. a& y7 g6 r; y计算题1 y. \7 _5 D! X1 n) x, W% V. W
42、求极限.
: x K1 z/ B! n- `; ~) Q$ N0 a) z9 c* T+ S
计算题' M/ K$ r! o9 C8 V
43、曲线, 求在时对应曲线上点处的切线方程.6 X3 S% C( ?- v5 R1 C3 L8 x
/ D/ z+ Q* B7 A' Z4 r
计算题# Z; a4 k2 g4 x- a$ R
44、求积分( a# |$ N* x/ A+ K
! d; @( F9 z6 R0 `- ^计算题
; K6 u; d0 `4 M# e o45、求函数的导数./ ^) g# l6 N& B- I- W! n
: D, y0 _# E6 k# E
计算题0 [ |' K9 L3 \* g8 N% k. x
46、求由曲线及直线所围成的图形的面积., G4 y( e& j- }3 L4 E
# J' _7 H! W- o8 ^0 J! L
计算题
& o' a, ~' f2 W2 b: m! v47、求不定积分.
- S. d( K3 q3 w% E+ {
5 e7 L! G! e! ?2 X; r计算题
# ]# A! U. H. J. h8 }4 [/ `/ n48、求极限
3 Q: [. Q* I& S8 _6 _/ \
- M' A3 @$ x# P2 Q4 R计算题+ `6 \8 ~1 W4 w
49、求函数的定义域.
+ ]2 n# T) q3 Z8 r5 t
/ l' ^% v8 H* U( U( O; ]计算题
1 _! c* m- V4 }+ x) K: T9 c# l50、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.
5 G9 \3 ?, s4 B2 ?+ K( P, I
( q, N9 l) d4 N; ~9 x计算题
% n* C2 |/ S+ [3 V M; T9 ^) i51、设,求积分的值./ v5 C' L" B; A% p8 j; G+ Z w
$ I8 Z+ A6 c0 G* H
计算题
7 O1 u% T6 T, T3 B; t5 ]52、求极限.
9 T) @' X9 ]# K, n7 Q/ M7 G% W& X/ L# `2 M
计算题
6 ^% Z# M x w9 _! i7 j- _/ T53、计算.
2 `) C4 K7 i2 W" X
3 Q8 d/ c8 r" w/ M1 y计算题
& l6 A/ k2 [+ D1 ?, C$ i54、求极限.
( D# k- M9 M; ^! j0 ~7 m' J$ Y4 n/ h2 P2 [
计算题
; S4 u0 Y% _9 ?, z0 t* X55、设,求.
( n9 a" ~4 x" o: N
; p9 U5 N2 s! p' b! H& p证明题
- Q! d5 |! V( m56、求函数的极值.& \/ W& W X( ?$ w5 C, Z
/ S6 ^8 v# c+ }
证明题
& f. H5 u {9 Z$ z4 n57、判断级数是否收敛. 若级数收敛,试求其和.. n+ L E1 H0 o! r
) r; H6 m2 j; |3 U b4 Y, o; {; B证明题
( W5 `$ j4 H- b. D1 G58、已知,讨论a的取值.* N9 |: b% S" o3 b2 W
# H4 N9 S2 G8 R N$ r6 A- P证明题
3 u* n; O4 c& ?) e59、讨论函数的极值
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8 T$ X% Y9 ~0 `7 F证明题
% x+ V4 R5 u* Y3 n4 K5 E! h60、讨论的单调性和极值. |
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