English translation Pay attention! Use attributive clause! As we all know, China has 9.6 million square kilometers of land and is the third largest country in the world There are 56 ethnic groups in China, of which the Han ethnic group accounts for 94% There are many big rivers in China, among which the Yangtze River and the Yellow River are the most important There was a time when China's economy lagged behind many countries in the world With the growth of economy, the days when Chinese people were discriminated are gone forever, so Chinese people are proud of it If you don't translate the computer, you will adopt it today

English translation Pay attention! Use attributive clause! As we all know, China has 9.6 million square kilometers of land and is the third largest country in the world There are 56 ethnic groups in China, of which the Han ethnic group accounts for 94% There are many big rivers in China, among which the Yangtze River and the Yellow River are the most important There was a time when China's economy lagged behind many countries in the world With the growth of economy, the days when Chinese people were discriminated are gone forever, so Chinese people are proud of it If you don't translate the computer, you will adopt it today

1.It is well-known that China has an area of 9.6 million square meters and ranked the third in the world.2.China has 56 ethnics in which the Han Ethnic Group takes up 94 percent.3.China has many large...

Given that AB is a rational number and satisfies (A-1) &# 178; + B-2 = 0, find the value of 1% (a + 1) (B + 1) of AB + 1% (a + 2) (B + 2) of AB + ··· + (a + 2012) (B + 2012) of ab

a-1=0
b-2=0
∴a=1
b=2
AB 1 + (a + 1) (B + 1) 1 + (a + 2) (B + 2) 1 + ··· + (a + 2012) (B + 2012) 1
=1/1×2+1/2×3+1/3×4+…… +1/2013×2014
=1-1/2+1/2-1/3+1/3-1/4+…… +1/2013-1/2014
=1-1/2014
=2013/2014

It is known that a and B are rational numbers, and the squares of | 3A + 1 | and (b-2) are opposite to each other,
Finding a ^ b-ab
Seeking speed

∫ 3A + 1 | and (b-2) & 178; are opposite numbers,
∴ |3a+1|+(b-2）²＝0
∴|3a+1|＝0,(b-2）²＝0
3a+1=0,b-2=0
∴a=-1/3,b=2
∴A^B-AB
=(-1/3)²-(-1/3)×2
=(1/9)+(2/3)
=7/9

For a rational number a, the opposite of a is - A

For a rational number a, the opposite of a is - A, which is correct

What is the size relationship between - A, the opposite number of rational number a

When a > 0, a > - A
When a

Definition: A is a rational number that is not 1. We call 1 / 1-A the difference reciprocal of A. for example, the difference reciprocal of 2 is 1 / 1-2 = - 1, and the difference reciprocal of - 1 is 1 / 1 - (- 1) = 1 / 2. We know that A1 = - 1 / 3. A2 is the difference reciprocal of A1, A3 is the difference reciprocal of A2, A4 is the difference reciprocal of A3, A4 is the difference reciprocal of A5
(1) Calculate the difference reciprocal of A2, A3, A4 and A5,
(2) Find the value of A2012

It can be seen from the question: A2 = 3 / 4; A3 = 4; A4 = - 1 / 3; A5 = 3 / 4
The reciprocal of the difference is: 4; - 1 / 3; 3 / 4; 4
a2012＝3／4

Definition: A is a rational number which is not 1. We call 1 / 1-A the difference reciprocal of A. for example, the difference reciprocal of 2 is 1 / 1-2 = - 1, and the difference reciprocal of - 1 is 1-1 - (- 1)
=It is known that A1 = - 1 / 3, A3 is the difference reciprocal of A2, A4 is the difference reciprocal of A3 By analogy, a2011 =?

According to the theme
a1=-1/3
a2=1/(1-(-1/3))=3/4
a3=1/(1-3/4)=4/1=4
a4=1/(1-4)=-1/3
Thus it can be seen that the following is a cycle, every three groups complete a cycle
2011 / 3 = 670 + 1
So A2010 is equivalent to A1
So a2011 = A1 = - 1 / 3

A is a rational number that is not 1. We call 11 − a the difference reciprocal of A. for example, the difference reciprocal of 2 is 11 − 2 = − 1, the difference reciprocal of - 1 is 11 − (− 1) = 12, A1 = − 13, A2 is the difference reciprocal of A1, A3 is the difference reciprocal of A2, A4 is the difference reciprocal of A3 , and so on, then A2010 = ()
A. 34B. 4C. − 13D

It is known that A1 = - 13, the reciprocal difference of A1 A2 = 11 − (− 13) = 34; the reciprocal difference of A2 A3 = 11 & nbsp; − 34 = 4; the reciprocal difference of A3 A4 = 11 − 4 = - 13; the reciprocal difference of A4 A5 = 11 − (− 13) = 34 And so on, 20103 = 670, so A2010 = A3 = 4

Definition: A is a rational number that is not 1. We call 11 − a the difference reciprocal of A. for example, the difference reciprocal of 2 is 11 − 2 = - 1, and the difference reciprocal of - 1 is 11 − (− 1) = 12 And so on. (1) find the value of A2, A3, A4. (2) find the value of a2011

(1) ∵ A1 = - 13, A2 is the reciprocal of A1 difference, ∵ A2 = 11 − (− 13) = 34, ∵ A3 is the reciprocal of A2 difference, ∵ A3 = 11 − 34 = 4 ∵ A4 is the reciprocal of A3 difference, ∵ A4 = 11 − 4 = - 13; (2) ∵ A1 = - 13, A2 = 34, A3 = 4, A4 = - 13; 2011 △ 3 = 670 1，∴a2011=-13．

Definition: A is a rational number that is not 1. We call 1 / 1-A the difference reciprocal of A. for example, the difference reciprocal of 2 is 1 / 1-2 = - 1, and the difference reciprocal of - 1 is
1 / 1 - (- 1) = 1 / 2, A1 = 1 / 2. If A2 is the difference reciprocal of A1, then A2 = (), A3 is the difference reciprocal of A2, then A3 = (), A4 is the difference reciprocal of A3, then A4 = (), and so on, then A2010 = ()

a2 = 1/(1-1/2) = 1/(1/2) = 2
a3 = 1/(1-2) = 1/(-1) = -1
a4 = 1/(1-(-1)) = 1/2 = a1
a2010 = a(3+2007) = a(3+3*669) = a3 = -1