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【西南大学】[机考][9102]《高等数学》1 U* y- l4 S8 [+ `8 m7 z
试卷总分:100 得分:100
+ ~9 Z4 g4 _/ y$ p第1题,设当时,是比高阶的无穷小,则( ) A., B., C., D.,
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B.C3 B: G0 I* q \ m( @# w
C.B
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正确资料:8 D) a5 P4 k0 z
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第2题,若存在,对任意,适合不等式的一切,有,则( ) A. B.在上无界 C.在上有界 D.在上单调
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) u! w6 E8 Z) I. H. T5 oB.C
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; C) [; \5 H# `! Q% U8 y$ u& m6 b/ b
% O8 j# |+ |: Q! j. I8 Y- `. E- v! t第3题,设函数是可导的,且,则( ) A. B. C. D.
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B.C
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( i* o% S( i) R6 d6 V$ Z/ [第4题,在下列函数中,与表示同一函数的是( ) A., B., C., D.,
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B.C
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D.D( n5 A9 z: e9 w. @! @& a
正确资料:
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第5题,若在开区间内可导,且对内任意两点,恒有则必有( ) A. B. C. D.(常数)8 o; f& ]( f7 O6 p6 E8 w
A.A2 D) u j7 ?; g" e+ e Q) ]; o4 Y; U
B.C: h+ N4 U1 a# l$ b
C.B
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正确资料:: _2 O0 \. Y1 `
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第6题,设在闭区间上连续,在开区间上可导,且,,则必有 ( ) A. B. C. D.& Y" L# h! q% K# j
A.A
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C.B. e2 Y6 m; S. G" U
D.D4 u/ d2 h% A5 F
正确资料:
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第7题,若函数在某点极限存在,则( ) A. 在的函数值必存在且等于极限值 B.在函数值必存在,但不一定等于极限值 C.在的函数值可以不存在 D.如果存在的话,必等于极限值
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B.C
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D.D& f" O. H, m8 T' ^
正确资料:
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第8题,指出下列函数中当时( )为无穷大 A. B. C. D. `5 ^2 _! U+ Z' V+ _( e: q9 ]
A.A
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D.D
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第9题,函数在某点处有增量,对应的函数增量的主部等于0.8,则( ) A.4 B.0.16 C.4 D.1.6
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正确资料:
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6 F* U; A$ u. ]( [3 l3 D第10题,已知在上连续,在内可导,且当时,有,又已知,则 ( ) A.在上单调增加,且 B.在上单调减少,且 C.在上单调增加,且 D.在上单调增加,但正负号无法确定2 p. j! ]* I! l
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B.C
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D.D
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. h9 {5 E. h( P- v+ S第11题,无穷多个无穷小量之和,则( ) A.必是无穷小量 B.必是无穷大量 C.必是有界量 D.是无穷小,或是无穷大,或有可能是有界量& T# i. x0 s' }" I( d5 B3 d6 Y
A.A& {1 }6 k, t, W. Y! n& B
B.C+ i! D# h' l0 R6 w; k2 s
C.B( H$ v- F' |0 M$ X
D.D
2 W7 i2 v* {; U+ a正确资料:' T8 u$ x2 [! X8 e' X
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7 O* A" x/ }" N8 O5 ?第12题,函数,则 ( ) A.在任意闭区间上罗尔定理一定成立 B.在上罗尔定理不成立 C.在上罗尔定理成立 D. 在任意闭区间上,罗尔定理都不成立
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C.B" @8 k8 }! U8 t ^3 j6 B+ P
D.D! a+ m0 C+ x N6 G! a0 d. Z
正确资料:$ u/ X; C! N; Y! Z0 o& z
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0 s7 Z. y5 l8 i }第13题,函数(),则此函数( ) A. 没有间断点 B.有一个第一类间断点 C.有两个以上第一类间断点 D.有两个以上间断点,但类型不确定# ~/ k4 ? b1 ~! ? B
A.A
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C.B
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1 z6 n; a+ K; y7 |正确资料:
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第14题,设在的某领域内有定义,,且当时,与为等价无穷小量,则( ) A. B. C.不存在 D.不能断定的存在性
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B.C* h2 l! b- I3 Q t) s9 B
C.B5 K( F5 l; `& K/ B
D.D
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2 |/ U6 C( p S: Z" Z8 ^第15题,若,下列各式正确的是( ) A. B. C. D.( J* Q0 P _5 I6 T3 {
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B.C
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D.D3 y$ j" r6 X. |% B. |) B/ }7 z4 U
正确资料:, K. }4 e; u" p- F; H% Q7 {
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7 S$ y! p6 x$ v0 d第16题,求下列函数的自然定义域
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第17题,. b1 O* _# L+ h+ o
正确资料:
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: h: A0 Y# y" n; @! ?. b: _- X/ R, A第18题,
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L" O, {) B1 Q第19题,+ _1 Y S2 H) W( Y
正确资料:
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/ S. T( U+ ]4 `1 A
) F7 R' o5 y+ y' f/ Y: z9 p第20题,求下列函数的自然定义域) S5 C: e6 O* ~+ T* k
正确资料:</strong><br/><img src="data:image/png;base64,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"/>
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# V# `8 h3 h4 x% K+ U1 K" U' \第21题,
3 c% {! I* g0 }0 K& n" f- Y1 {正确资料:
/ b4 ]: u" g1 A" k2 ~" x/ b: w: d) J; e, @: D* @
2 I( f" }- H7 ?* [第22题,求下列函数的自然定义域
; N: `% [7 W% L" r c5 Y1 b0 c正确资料:</strong><br/><img src="data:image/png;base64,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"/> ; \5 \% O- W% ?# ?
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第24题,
* `2 ~7 v/ x) @5 q3 |6 @ Q8 {正确资料:4 S. h; v- z; y! |( v2 [ V
) L. W% N1 y5 D" ~5 Q: @5 X. {. R( g0 A, m; P
第25题,$ v/ j' N b/ K: Y# E
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