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计算机数学基础
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单项选择题
9 u. ^' S+ M. A- U: ^! {9 V& ` G/ z1、设A, B, C是三个事件,则A, B, C都不发生可表示为 .! M; `7 u9 O. I2 y9 E
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4 R9 Q, x- b/ i" _$ z单项选择题
. p P: h1 n, ]& C2 U2、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 .4 H; _5 n7 ^& n% ]0 f0 J; R
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7 t+ \' v* @% ]1 z单项选择题* G5 Z4 q5 Y& Z! q" _
3、下列不定积分正确的是 .
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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0 M9 {' U! Q# t9 u: A4 _2 @
4、设f(x)的一个原函数为lnx,则 .
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单项选择题
3 N1 o4 Y7 K4 ]& D2 N$ Y5、设z = x2 – 2y, 则= ( ).+ G0 E% M- B1 j8 B( w
A.-2y! \' k* \4 X3 Z* `
B.-2; Z2 S6 G" T9 o+ R
C.2x1 n4 L- c2 }* i M$ f& N: i
D.2x-2y
. x" R( @' L6 ^& }0 Q单项选择题
. k) q1 B5 X5 H; [9 W* h6、下列级数中,发散的是 .- A L# N; x! _$ |
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# F1 Z, f/ R1 B+ y6 g单项选择题
3 a1 j1 u% l4 p! ^- D- ]) O7、设函数,求= .
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单项选择题! p4 R4 ^$ g1 J8 R
8、设A与B是互逆事件,则下式中不成立的是 .3 q+ Q4 E8 o$ g4 u$ s' I; Z3 E
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' g3 r3 F+ H ^# _' Z! X# |单项选择题
* W$ J# u/ w1 K( Q5 b' I9、数列0, 1, 0, 1, 0, 1, …. .2 {/ s6 J Y; q1 |- Z, p {
A.收敛于0) v+ m5 D. n7 I$ N& Z
B.收敛到11 E7 r% k5 _( C
C.发散; j" Y) R5 T% y# D1 H9 }; g
D.以上结论都不对* b6 N, N0 p, G, U! X( @ c
单项选择题
; ]9 w3 Q* @8 w7 ^10、幂级数的收敛半径为 .
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C.2) {; N. i4 A2 X( s" v7 o) m8 p, g$ I
D.1
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11、微分方程的通解为 ,其中C为任意常数.5 X1 X6 ^3 F* P5 s0 h9 ~+ s
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单项选择题/ R* {* @4 `, m5 C+ b, |& n0 ^3 A
12、若,则 .
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' r5 F0 ~% N2 t& Z. ^4 K 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"/>
) E) f% [: _2 P/ V单项选择题
; O+ l- s( j% F# j2 s& {2 l0 _2 l# }13、等比级数收敛到
3 b' y% H' d0 U$ I7 { A.4
6 e2 h: B- l2 M% j5 m% H! S c' c; S B.3; Z. r3 A+ f" p) y7 P4 U' p' ]) y
C.2
1 l; S p7 f. N2 Z) x: U: @ D.1' k0 O1 s( J0 c3 q6 A+ P1 ]7 M1 i, l5 a
单项选择题2 S4 M: f3 }; b" O
14、微分方程的通解中有 个任意常数.' {$ t6 \& M- q8 I
A.0
: i$ k3 B, J3 t, l& w+ f0 i8 q B.17 ? j" C5 c0 ]: C, H
C.2
" L/ B9 V/ N9 j9 l7 m1 u D.3# h4 h* E% }. j, b$ {# {
单项选择题
- C. T0 y5 h' U- u5 f5 O15、微分方程的通解为 .
7 a- m9 q4 `0 A5 E, l image/png;base64+ C; j7 A ]/ ]+ w4 V
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"/>
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单项选择题
: y5 n' J( x9 A( d0 P5 x7 p0 i16、设f(x)是随机变量X的密度函数,则不正确的是 .
. \! e, J# t- n image/png;base64' f# n p0 Q; @. N @$ S5 [+ V8 f
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"/>0 V1 [( M/ G# x( T! [
D.?<imgsrc="data& a$ f+ T8 s$ n! e' u
单项选择题
/ g. K3 ~1 K- e17、要使函数在上连续,则= .
8 D. l$ `2 C; G- A9 R4 T A.07 _ t6 a" \! D1 Q6 J' x0 ]9 P
B.1% p0 p0 R* o2 j7 L! P& J. B
C.-1
" A7 \( D& [3 H3 H2 U' r/ E D.2
" n0 [, {' k+ }- {单项选择题
! k7 C' t1 s4 B- }: b18、已知随机变量X的密度函数,则D(X) = .& }3 q; A6 B+ p. Y- X
A.1/30 q7 _1 r, C/ M+ z
B.1/16
+ m e+ ?8 U7 B3 I4 S C.1/4
9 u9 z5 n4 u* X K( b U2 D D.1/182 i% h: Z- e# W4 a+ j
单项选择题
* N* ]% I4 p6 r0 u' U) G6 m: [19、数列0, 1, 0, , 0, , 0, ,…. ,0, ,… .
; k- O* J: L" ~$ x A.收敛于0/ ]( E- b$ ]! c% s: n0 W
B.收敛到19 b @8 B4 A" ?8 [, N. O
C.发散
' L, F0 a7 u6 S7 S5 { D.以上结论都不对, J+ `9 s: S! m" u: Y% }
单项选择题
+ j& U$ \7 ]% B4 h- K' [20、不定积分= .
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"/>
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谋学网(www.mouxue.com)+ c9 K+ F& c) ?- G% }
21、已知|q| <1,则极限= . V" X' k ^- w
4 H# R& h3 I& r5 ^0 x5 z
谋学网(www.mouxue.com)+ q' C# B. O7 F r4 D
22、微分方程的通解为 .
9 F" o) u, g6 e( c9 b1 R( m
: e! V1 H$ ^. V( u; h3 j$ Y谋学网(www.mouxue.com)" L5 M' _5 X( H$ U6 N
23、级数的通项un = .
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谋学网(www.mouxue.com)
+ B' k5 B8 |: u7 R3 h' M24、球心在O(0, 0, 0)、半径为R的球面的方程为 .# h' p% n4 k9 w* Y( V
1 z8 u7 Z1 r3 q9 l' k谋学网(www.mouxue.com)( }4 c; w/ U* M) O8 Q
25、设函数,则定积分 .# F7 |# B" ~: s6 b6 O1 o
" l9 Z. K* Q5 `3 t谋学网(www.mouxue.com)1 T% T' m G9 i# m: f
26、函数的定义域为 .
1 H6 _9 T" v8 u M* r
/ |6 C$ M3 a! u& B& L谋学网(www.mouxue.com)' f! p3 j7 J/ h* |! p) e
27、不定积分 .& H) I8 _; r9 h8 l3 _
2 l: @3 P& P/ ? A: C0 J6 G, A( X
谋学网(www.mouxue.com)* `6 p& a8 f H5 C* \
28、设随机变量X ~ U[a, b],则E(X)= .
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谋学网(www.mouxue.com)
; P, i" b) M; u3 j9 g, Y29、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 .7 v* L) H! w# u" Q7 N
9 n! W4 P3 u$ P0 e谋学网(www.mouxue.com), k* K" v/ O, F7 o! A* h: M
30、设是连续函数,则a = .% T9 Z! H* a+ G+ L2 W
5 Z% n( v) B% r* g! t( h! F谋学网(www.mouxue.com)
1 @; [" `" W2 e+ w) S3 L31、 .. Q; Q+ ]+ r( B8 J ~) [* |
, z7 d- O6 M# T- U j( |9 \+ t谋学网(www.mouxue.com)) w7 K7 s& K% z- A" c
32、由参数方程所确定的函数的导数 .
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* G, M x- Q8 K谋学网(www.mouxue.com)
3 m k5 A1 N( U. Z9 E1 k33、微分方程的阶为 .0 P4 w$ M/ w/ L5 l3 D
, o" l- I. T* w. [3 G0 P. S/ F谋学网(www.mouxue.com)
) ~; Y3 G; f* }. D1 g34、设, 则= ." {( ~5 E& {" o0 ]2 I% `' g R; f
1 K0 B6 I8 q' Y: N+ Y/ n
谋学网(www.mouxue.com)7 D# y/ v, w3 }, I* ?8 L- j- \
35、抛物线在点A(1, 4)处的切线方程为 .
/ s. M) F# p# t1 x( t: V
. t6 z6 G( f7 U5 T. P; I6 M. x谋学网(www.mouxue.com)' ?( g! z5 k1 H+ W5 d
36、曲线在点(e, 2)处的切线方程是 .
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9 {/ m/ r; h6 v% P1 }5 e# ^6 z谋学网(www.mouxue.com)
8 a' q6 D6 Q2 w7 I37、方程表示的是 柱面.8 O9 R6 r! c" y6 j/ b1 f
1 j1 q- \2 U/ l* ^谋学网(www.mouxue.com); O/ L5 } m# x ?- V: T. Z
38、已知, 则f(0) = .1 x) g& G2 ^( S
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* ?- Y0 I, ^% ~( F2 {7 S39、函数的微分 ./ F( m3 m/ N5 q- n( e5 L/ M
$ `+ T. j: t/ |1 U- L谋学网(www.mouxue.com)
8 x- m8 C( B/ H" B( E8 C6 B40、已知,则dy = .+ B- N6 n: t; U2 s- y
9 V6 e9 O2 m V( u# ~ I5 n9 ]计算题" F j3 h5 S8 O$ f. v" |
41、计算不定积分.
6 Y2 D+ R6 m; I" q7 Y
8 V2 i5 _+ _& [) e) m' C计算题; W5 R% q0 k7 W" M$ @
42、求极限.4 u5 a( A$ c1 a" @2 a$ Z
T- x J% M6 M1 i- v+ q; `计算题' n& V/ e, x) D
43、曲线, 求在时对应曲线上点处的切线方程.) z0 k1 k% D+ m$ u1 ?2 r
3 ?5 E! E) D3 g: Q. G5 K
计算题
; t3 P% w9 `1 ~) V+ Y44、求积分. [9 g1 i& H, c% H5 j- I: p
. G4 y3 j' k3 z% m* X. `* M
计算题
+ f8 E; w7 P6 ]0 X8 @- k" r45、求函数的导数.( ~7 `& s x- Z1 [6 Y7 J
0 c% \4 e1 ~1 ~; i计算题
8 J& ]5 m4 d2 i6 j. _46、求由曲线及直线所围成的图形的面积.0 q5 R+ K* I: q4 A% i. Y7 P0 T, f
6 I- \% c5 Y8 h: n+ x3 V) N
计算题
0 s. T, j6 W; B47、求不定积分.; P' n; b! B3 \. I& A& ~) H% ?; L2 J
+ D- Z' g/ T2 |8 y1 T9 Y2 h
计算题$ O4 ^5 l u1 q6 X4 S. R9 [
48、求极限5 K: r4 l ]# H: p8 U5 o3 h
; s Y* b# `% s# `
计算题" Z. N3 E5 d& ~: i; u
49、求函数的定义域.) V% T9 U; `* f* w4 w8 p! ^" f
% G( a+ B+ x! `计算题( @7 o) X3 j, d* ?2 L/ {
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.
7 W4 o( ]4 u' l0 e* Q2 ]) S& D7 P3 T) b
计算题- ?5 q, ^5 s; g; h: B% E$ \
51、设,求积分的值.. [& k( f+ c' E; I9 U; a% j
7 }+ _0 u: i# @, G3 V计算题
+ `9 q* T- X3 y" I Z$ P( w52、求极限.
8 n( [) {7 F. Z; {6 V2 r- x/ Z$ y8 a
4 A7 `/ x2 k) O' i i0 ]9 l4 \计算题
; u5 P3 i0 C ]+ t! H53、计算.
0 z: y; b0 s6 y; H( U! k- x# c
5 J4 I, x2 P; Q( A6 a- ^9 I计算题
7 g1 |# @9 G6 r/ f& M- [. E54、求极限., m: e ]. ?3 G1 b: i. v- I
. n3 Q' k+ C2 e) t9 o( p
计算题& r# v: F$ F1 }& _2 d9 P
55、设,求.
N. p" h% R: K7 e/ Z4 K; f9 R V6 [$ d
证明题
" q1 U7 g7 w: }2 M56、求函数的极值.3 T& T2 d' P" C2 X% h w2 {0 Z8 W
! w% n, O* z# N; h证明题. S5 s5 }9 T# q% c$ {) u
57、判断级数是否收敛. 若级数收敛,试求其和.
. ?: ^3 ~8 J3 E! Y9 K5 }$ [4 N0 m3 Z8 i9 Q5 B
证明题7 Q% E$ h: M) s# V
58、已知,讨论a的取值.
: {6 ^" ~% [2 D9 l$ g5 E- V. t& H
证明题4 G9 b `# z9 ?" T2 Q' B
59、讨论函数的极值
4 l1 O, k& J9 X2 l2 x- D+ K0 m G% a' f) m
证明题
: `9 L9 U! j1 [: J& ?' j60、讨论的单调性和极值. |
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