由 扫描全能王 扫描创建

3 4

w + v lie s .

b Id e n t ify th e q u a d r a n t in w h ic h th e c o mp le x n u m b e r

ii th e c o m p le x n u m b e r v s u c h th a t z + w + v = O

1 Z + w

r e p r e s e n t s

a O n a c o p y o f th e d ia g r a m , d r a w a v e c t o r fr o m O w h ic h

3 11 e A rg a n d d ia

g r a m s h o w s th e c o m p le x n u m b e r s z a n d w .

e p= - 1 f ą - - 2 . 5 i

C u = - 2 - 3 i d v = 2 . 5 + 3 i

a z = - 3 + 2 i b w = l - 2 i

z S h o w th e s e c o m p le x n u m b e r s o n th e s a m e A rg a n d d ia g r a m .Ě

im a g in a r y p a r ts o f 16 - il3 .

fr o m r o u n d ing , to th e n e a r e s t in te g e r , th e r e a l a n d

n u m b e r s o n th e d iag r a m is th e c o m p le x n u m b e r r e s u ltin g

W ith o u t u s in g a c a lc u la to r , d e te r m in e w h ic h o f th e

a a n d b .

a W r ite d o w n e a c h n u m b e r in th e fo r m a + bi fo r in te g e r s

a re in te g e ls .

im a g in a ry p a rķ o f e a

Yo u m ay a ssu m e th a tp , u ,

w a n d Ł1 T h e A r g a n d d ia g

r a m sh o w s th e c o m p le x n u m b e r sE x e r c ie e 2 . 5

由 扫描全能王 扫描创建

미 R e

L ·a n d th a t w is p u r e ly im a g in a r y .

G iv e n th a t th e le n gth s O A a n d O B a r e e q u a l, s h o w th a t z is r e a l

a n d z - w re sp e c tiv e ly .

P o in ts A a n d B , n o t sh o w n o n th e d ia gr a m , r e p r e s e n t z + w

co rre c t r e la tiv e to P .

w re sp e c tiv ely . Y o u m a y a s s u m e th a t th e p o s itio n o f Q is

q u a d r a n t, r e p r e s e n tin g th e n o n - z e r o c o m p le x n u m b e r s z a n d

7 T h e A r g a n d dia g r a m sh o w s v e c to r s O P a n d O Q in th e fir s t ım.

P O Q = 60 °

.

c G iv e n th a t p o in t B lie s o n th is c ir c le , s h o w th a t a n gle

b C o m p le te ly d e s c r ib e th e q u a d r ila te r a l 0 P A Q .

ii O B to r e p r e s e n t w- Ł

O A to r e p re s e n t z + w

a O n a c o p y o f th e d ia g r a m , d r a w a v e c t o r

is sh o w n in th e d ia gr a m .

p a n d Q lie o n a c o m m o n c ir c le , c e n tr e O , p a r t o f w h ichp a n d Q re sp

e c tiv e ly .

in th e firs t q u a d r a n t , a r e r e p r e s e n te d b y th e p o in ts

6 In th e A r g a n d d ia gr a m , th e c o m p

le x n u m b e rs z a n d w »

年

b w lie s in th e fo u r th q u a d ra n t .

a z lie s in th e first q u a d r a n t

o : k R e

U se a n A r ga n d d ia g r a m to d e m o n s tr a te th a t

rela tiv e to th e v aıu e o f th e c o n sta n t k m a rk e d o n e a c h a x is .

ū e A rga n d dia g ra m re p re s e n t z + w a n d z - w r e sp e c tiv e ly .

/5 Fo r th e c o m p

le x n u m b e rs z a n d w , th e v e c to rs O P a n d O Q o n lm

b C o m ple te ly d e sc r ib e th e q u a d r ila te r a l O C E D .

ūi th e p°in t E re p re se n tin g 2 z + W .

0 1 R e

A�: i p o in t D ' " s e n t in g 2 z

th e p°in t C re p re s e n tin g Z + W

a O n a c o py of th e d ia g r a m , in d ic a te

B�repre se n

t th e c o m p le x n u m b e r s z a n d w re sp e c tiv e ly .

4 Tlie A rga n d d ia g

ra m s h o w s p o in ts A a n d B , w hic h lm+

2 C o m p lo t n u m b e rw

由 扫描全能王 扫描创建