1 / 3
鏈熸湯璇曞嵎
2012 ~ 2013
瀛﹀勾绗竴瀛︽湡
鑰冭瘯鏃堕棿锛?/p>
100
鍒嗛挓
璇剧▼鍚嶇О
澶嶅彉鍑芥暟涓庣Н鍒嗗彉鎹?/p>
A
鍗?/p>
鈻?nbsp;
棰樺彿
涓�
浜?/p>
涓?/p>
鍥?/p>
浜?/p>
鍏?/p>
涓?/p>
鍏?/p>
涔?/p>
鍗?/p>
鎴愮哗
棰樺垎
30
20
50
寰楀垎
娉ㄦ剰浜嬮」锛?/p>
绛斿嵎鍓嶏紝鑰冪敓鍔″繀鎶婅瘯鍗峰拰绛旈绾镐笂瀵嗗皝绾垮唴鍚勯」鍐呭浠ュ強鍙充笅瑙掑骇浣嶅彿濉?/p>
鍐欐竻妤氾紝鍚﹀垯鍙兘寰椾笉鍒版垚缁┿�傜瓟妗堝繀椤诲啓鍦ㄨ竟妗嗗唴銆?/p>
涓�銆佸崟椤归�夋嫨棰橈紙鏈ぇ棰樺叡
10
灏忛锛屾瘡灏忛
3
鍒嗭紝鍏?/p>
30
鍒嗭級
鍦ㄦ瘡灏忛鍒楀嚭鐨勫洓涓閫夐」涓彧鏈変竴涓槸绗﹀悎棰樼洰瑕佹眰鐨勶紝璇峰皢鍏?
浠ｇ爜濉啓鍦ㄩ鍚庣殑鎷彿鍐呫�傞敊閫夈�佸閫夋垨鏈�夊潎鏃犲垎銆?/p>
1
锛庤
z=3+4i,
锛屽垯
Re z
2
=(
)
A
锛?/p>
-7
B
锛?/p>
9
C
锛?/p>
16
D
锛?/p>
25
2.
澶嶆暟鏂圭▼
z=cost+isint
鐨勬洸绾挎槸锛?/p>
锛?/p>
A.
鐩寸嚎
B.
鍦嗗懆
C.
妞渾
D.
鍙屾洸绾?/p>
3.ln(-1)
涓猴紙
锛?/p>
A.
鏃犲畾涔夌殑
B.0
C.
蟺
i
D.(2k+1)
蟺
i(k
涓烘暣鏁?/p>
)
4.
涓嬪垪鍖哄煙涓烘湁鐣屽崟杩為�氬尯鍩熺殑鏄?/p>
(
)
A
锛?/p>
0<|z-i|<1
B
锛?/p>
0<Imz<
飦?/p>
C
锛?/p>
|z-3|+|z+3|<12
D
锛?/p>
0<argz<
4
3
飦?
5.
璁?/p>
z=x+iy
锛岃В鏋愬嚱鏁?/p>
f(z)
鐨勮櫄閮ㄤ负
v=y
3
-3x
2
y
锛屽垯
f(z)
鐨勫疄閮?/p>
u
鍙彇涓猴紙
锛?/p>
A.x
2
-3xy
2
B.3xy
2
-x
3
C.3x
2
y-y
3
D.3y
3
-3x
3
6.
璁?/p>
f
(
z
)=
u
(
x
,
y
)+
iv
(
x
,
y
),(
z
=
x
+
iy
,
z
0
=
x
0
+
iy
0
)
锛屽垯
ib
a
z
f
z
z
飥?/p>
飥?/p>
飩?/p>
)
(
lim
0
鐨勫厖瑕佹潯浠舵槸
(
)
A.
a
y
x
u
y
x
y
x
飥?/p>
飩?/p>
)
,
(
lim
)
,
(
)
,
(
0
0
B.
b
y
x
v
y
x
y
x
飥?/p>
飩?/p>
)
,
(
lim
)
,
(
)
,
(
0
0
C.
a
y
x
u
y
x
y
x
飥?/p>
飩?/p>
)
,
(
lim
)
,
(
)
,
(
0
0
鎴?/p>
b
y
x
v
y
x
y
x
飥?/p>
飩?/p>
)
,
(
lim
)
,
(
)
,
(
0
0
D.
a
y
x
u
y
x
y
x
飥?/p>
飩?/p>
)
,
(
lim
)
,
(
)
,
(
0
0
涓?
b
y
x
v
y
x
y
x
飥?/p>
飩?/p>
)
,
(
lim
)
,
(
)
,
(
0
0
7.
飥?/p>
i
2
ln
锛?/p>
锛?/p>
A
锛?/p>
2
ln
B
锛?/p>
i
2
2
ln
飦?
飥?
C
锛?/p>
i
2
2
ln
飦?
飥?
D
锛?/p>
i
i
2
Arg
2
ln
飥?/p>
8.
璁?/p>
C
涓烘鍚戝渾鍛?/p>
|z|=2
锛屽垯
飥?/p>
飥?/p>
飪?/p>
飥?/p>
飥?/p>
C
dz
z
sin
2
z
1
锛?/p>
锛?/p>
A
锛?/p>
cos1
B
锛?/p>
sin1
C
锛?/p>
2
i
飦?/p>
cos1
D
锛?/p>
2
i
飦?/p>
sin1
9.
璁?/p>
C
涓烘鍚戝渾鍛?/p>
|z|=1
锛屽垯
飪?
飥?/p>
C
2
z
dz
锛?/p>
锛?/p>
A.0
B.1
C.
蟺
i
D.2
蟺
i
10.
璁?/p>
C
涓轰粠
-i
鍒?/p>
i
鐨勭洿绾挎锛屽垯
飪?/p>
飥?/p>
C
dz
|
z
|
锛?/p>
锛?/p>
A.i
B.2i
C.-i
D.-2i
浜屻�佸～绌洪锛堟湰澶ч鍏?/p>
5
灏忛锛屾瘡灏忛
4
鍒嗭紝鍏?/p>
20
鍒嗭級
璇峰湪姣忓皬棰樼殑绌烘牸涓～涓婃纭瓟妗堛�傞敊濉�佷笉濉潎鏃犲垎銆?/p>
11.arg(
3
+ i)=___________.
12.
璁?/p>
f(z)=ze
z
,
鍒?/p>
飥?/p>
飩?/p>
)
z
(
f
.
13.
璁?/p>
C
涓烘鍚戝渾鍛?/p>
|z|=1
锛屽垯绉垎
飪?
飥?/p>
C
dz
z
1
___________.
14.
璁?/p>
C
涓轰粠
i
鍒?/p>
1+
i
鐨勭洿绾挎锛屽垯
飥?/p>
飪?
zdz
C
Re
____________.
15.
鑻?/p>
i
3
i
1
z
飥?/p>
飥?/p>
飥?/p>
锛屽垯
z
=___________.
涓夈�佽绠楅锛堟湰澶ч鍏?/p>
5
灏忛锛屾瘡灏忛
10
鍒嗭紝鍏?/p>
50
鍒嗭級
16.
璁惧鏁?/p>
)
2
)(
1
(
飥?/p>
飥?/p>
飥?
i
i
i
z
锛?/p>
1
锛夋眰
z
鐨勫疄閮ㄥ拰铏氶儴锛?/p>
锛?/p>
2
锛夋眰
z
鐨勬ā锛?/p>
锛?/p>
3
锛夋寚鍑?/p>
z
鏄鍑犺薄闄愮殑鐐?/p>
.
寰楀垎
寰楀垎
寰楀垎