2/5/20151Chng 1S PHCNi Dung1. nh ngha2. Biu din s phc trn h ta
3. Cc dng biu din s phc4. Cc php tnh5. Cc tnh cht2/5/20152S Phc: =+
= +
: n v o 2 = 1 ={}: phn thc ={}: phn o = 0 = : s thun o = 0 = : s
thcZ-Plane (Complex Plane) = + = = 2 + 2 = tan1
= cos + sin =cos =sinArgand Diagram 2/5/20153S Lin Hp Phc: =. =2
= 2 + 2 = 1
=
2; 0Cng Thc Euler
= cos + sin
= cos sin cos =
+2sin =
22 = 1
2=
2=
= = 12/5/20154Biu Din S Phc1. Dng Trc = + 2. Dng Lng Gic = (cos
+ sin )3. Dng M Phc =
4. Dng Cc = Cng thc lin h = 2 +2 = tan1
Bi Tp Chuyn i sang cc cch biu din cn li:Dng Trc Dng Lng Gic Dng
M Phc Dng Cc1 2 cos
4 sin
42
42
422 cos32+ sin322322325 221 5 cos
4 sin
45
45
4321 3 cos
3+ sin
34
34
32/5/20155Cc Php Tnh
=
+
=
+
1. Php Cng
1+2 =1+2+1+22. Php Tr
12 =12+123. Php Nhn
1. 2=1
21
2+1
2+1
2=1 . 2
1+2=1 . 2 1+24. Php Chia
1
2 =
1
2
2. 2=
1
2+1
2+2
11
2
22+22=
1
2
12=
1
212Cc Php Tnh
=
+
=
+
5.Ly Tha
=
=
6. Khai Cn
1
=
1
=1
2/5/20156Tnh Cht Ca S PhcTnh cht1. Phn Phi
1
2 +3= 1
2 +1
32. Kt Hp
1
2 +1
3 = 1
2 +33. i xng = 12 +; =12 ;c bit + = 21
=
21
= Bi Tp + =? , =? ,1. = 2 + 3, = 1 2;2. = 4 + 7, = 2 3;3. = 3, =
3 4;4. = 4 + 3, = 3 + 4;. =? , / =?5. = 3 + 6, = 4 +2;6. = 4 +2, =
4 107. = 3 +2, = 68. = 4 + 7, = 3 +5
