English translation

Are you crazy

Reading translation on page 66 of grade 9 English book

I'm going to send you a picture of lucky. Dear Miss Li, I want to thank you for donating to "animal assistant", a group formed to help the disabled. There is no doubt that you have helped me and made it possible for me to have "lucky", which makes my life full of fun. Let me tell you my story

Unit 1 reading and translation of new target English grade 9

How to we deal with our problem?Rich or poor,young or old,we all have problems.And unless we deal with our problems,we can easily become unhappy.Worrying about our problems can affect how we do at sch...

Factorization (1 + 2x) ^ 2-1

=2x（2x+2）=4x（x+1）

There are n integers, the product is n, and the sum is 0

Proof: let n integers be A1, A2, A3,..., an
If n is odd, then from A1 × A2 × A3 ×... × an = n, we can know that A1, A2, A3,..., an are all odd, so we can get that their sum is also odd, which is contradictory to the known condition that their sum is 0, so n is even
Since n is even, let n = 2K
If K is odd, then from A1 × A2 × A3 ×... × a2k = 2K, we know that there is only one even number in A1, A2, A3,..., a2k
(because there is only one even prime factor 2 in the product 2K),
The other (2k-1) numbers are odd
But the sum of an even number and an odd number is still an odd number, that is to say, the sum of 2K numbers is an odd number, which contradicts the known conditions, so K is also an even number
Since K is even, let k = 2K ', then n = 4K' (k 'is an integer), that is, n can be divided by 4

The distances from the right vertex a of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 to the two focal points F1 and F2 are 8 and 2 respectively,
Solving elliptic equation
Let the moving point P satisfy PF2 ^ 2-pa ^ 2 = 4, and find the trajectory equation of the moving point P

1
AF1=8,AF2=2
AF1-AF2=F1F2=2c=8-2
c=3
OF1=3
AF1-OF1=a=8-3=5
b^2=a^2-c^2=4^2
x^2/5^2+y^2/4^2=1
two
A(5,0) F2(3,0)
[(x-3)^2+y^2 ]- [(x-5)^2+y^2]=4
(x-3)^2-(x-5)^2=4
4x=20
x=5

What is the sum of two prime numbers 48?
For example: 31 + 17 = 48

5、43
7、41
11、37
17、31
19、29

Write the minimum value of the function y = x + ax + 3 (- 1 ≤ x ≤ 1) in the constant a under the following conditions:
(1) (2) a > 2.3

1) Formula y = [x + A / 2] [x + A / 2] - A * A / 4 + 32) so when x = - A / 2, there is a minimum value. 3) when 0 ＜ a ＜ radical 3, the value range of - A / 2 is (- radical 0.75,0), which is within the value range of X. so the minimum value of the function is - A * A / 4 + 34). When a ＞ 2.3, the value range of - A / 2 is (negative, none)

Given that the image of the function FX = log2 (x2 ax + A2) is symmetric with respect to the line x = 2, what is the value of the real number a

Because of the symmetry of x = 2, we can see from the image that f (X-2) = f (x + 2), so f (x) = f (x + 4)
Let x = 1,

If X: Y: z = 3:4:7 and 2x-y + Z = 18, what is the value of X + 2y-z?

Let X3 = Y4 = z7 = k, then x = 3k, y = 4K, z = 7K. Because 2x-y + Z = 18, so 2 × 3k-4k + 7K = 18, so k = 2, so x = 6, y = 8, z = 14, so x + 2y-z = 6 + 16-14 = 8

English translation