In the complex plane, if the corresponding point of complex Z1 is (1,1), and the corresponding point of Z2 is (1, - 1), then Z1 * Z2=

In the complex plane, if the corresponding point of complex Z1 is (1,1), and the corresponding point of Z2 is (1, - 1), then Z1 * Z2=

This is a problem about the geometric meaning of complex number. If you want to solve it, you must understand it first
If you understand now, this is a basic problem
Now give the owner a positive answer
Complex Z1 = 1 + I & nbsp;
Similarly, Z2 = 1-I
The algorithm of complex number is similar to that of real number
z1*z2=(1+i)(1-i)=2
If there is anything you don't understand, please continue to discuss~

Given that two vertices a and B of an equilateral triangle in the complex plane correspond to complex numbers Z1 = - I and Z2 = - √ 3 respectively, find the complex number corresponding to the third vertex C and the complex number corresponding to vector AC

Point C can be on both sides of a and B, so there are two answers
When C is on the upper side of AB, C (0.1)
When C is under AB, C (- √ 3, - 2)

Fill the nine numbers - 4. - 3. - 2. - 1.0.1.2.3.4. Into the nine palace respectively, so that the sum of the three numbers in each row, column and diagonal is 0

3 -4 1
-2 0 2
-1 4 -3

Solve the following equations 3 (x-1) = y + 5 (Y-1) = 3 (x + 5) by substitution method

3(x-1)=y+5
y=3x-3-5=3x-8
Substituting 5 (Y-1) = 3 (x + 5)
5(3x-8-1)=3(x+5)
15x-45=3x+15
12x=60
x=5
y=3x-8=7

Answers to supplementary exercises on page 52 and 53 in Volume 1 of sixth grade mathematics of Jiangsu Education Press

Page 52:
There are 16 boys and 24 girls in the school art group
(1) The number of boys is equal to that of girls (2 / 3), the ratio of boys to girls is (2:3), and the ratio is (2 / 3)
(2) The number of male students accounts for 2 / 5 of the total number, the ratio of male students to the total number is (2:5), and the ratio is (0.4)
2. The length of a rectangle is 10 cm and the width is 6 cm. The length is wide (5 / 3) and the width is long (3 / 5). The ratio of length to width is (5:3) and the ratio is (5 / 3); the ratio of width to length is (3:5) and the ratio is (0.6)
3. There is a distance of 240 km between a and B. a bus and a truck leave for B. when they arrive at B, the bus runs for 6 hours and the truck runs for 5 hours
(1) The ratio of distance and time of bus is (40:1), the ratio is (40); the ratio of distance and time of truck is (48:1), the ratio is (48)
4· 4：12=（4）÷（12）=（4/12）
9÷24=（9）：（24）=（0.375）
5. Now apply it on the right square paper and fill in the blanks
The ratio of black to white is 2:7, and the ratio of white to black is (7:2)
6. There are 9 White rabbits and 7 / 9 Black rabbits
(1) There are (7) black rabbits
(2) The ratio of white rabbit to black rabbit was (9:7), and the ratio was (9 / 7);
(3) The ratio of black rabbit to white rabbit is (7:9), and the ratio is (7 / 9)
Page 53:
1. Simplify the following ratios and work out the ratio
（1）24：144=1：6
1：6=1÷6=1/6
（2）3/20÷3/8=（3/20×40）：（3/8×40）=6：25=2：5
2：5=2÷5=2/5
（3）0.625：3/4=（5/8×8）：（3/4×8）=5：6
5：6=5÷6=5/6
（4）0.3：0.18=30：18=5：3
5：3=5÷3=5/3
2. Use 10 kg sugar and 100 kg water to make sugar water
(1) The mass ratio of sugar to water is (1:10);
(2) The mass ratio of sugar to water is (1:11)
3. Xiao Hua has read 75 pages of a 120 page story book
(1) The ratio of the number of pages seen to the total number of pages is (75:120), and the simplest integer ratio is (5:8);
(2) The ratio of the number of pages not seen to the total number of pages is (45:120), and the simplest integer ratio is (3:8)
4· 24：6=48：（12）=（12）：3
3：（9）=1/3=（4）：12
9：12-=3/（4）=6：8
5 · (1) the ratio of apples to pears was (9:8); the ratio of pears to apples was (8:9);
(2) The number of pears is 8 / 9 of that of apples; the number of apples is 9 / 8 of that of pears

7. When x = 2, the square of the algebraic formula ax + BX is 12. When x = - 2, the value of the algebraic formula is 4. Find the value of a and B

What is the sum of the product of 12 times 8.5 plus the quotient of 27.3 divided by 4.2?

12 × 8.5 + 27.3 △ 4.2 = 102 + 6.5 = 108.5; answer: sum is 108.5

The area of a triangle is equal to that of a circle with a radius of 20 cm. The bottom of the triangle is 62.8 cm. What is the height of the bottom of the triangle?
Solve by equation

1/2 x 62.8 x H =3.14x20^2
H=40

5 / 8 x + 1 / 3 = 4 / 7 Solution

5 / 8 x + 1 / 3 = 4 / 7
5/8x+1/3=4/7
5/8x=4/7-1/3
5/8x=5/21
x=8/21

An area of 169 square decimeters square board, this square board side length is () decimeters, perimeter is () decimeters
First of all, thank you!

An area of 169 square decimeters square board, this square board side length is (13) decimeters, perimeter is (52) decimeters