All natural numbers are integers, and all integers are natural numbers______ (judge right or wrong)

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• 1. 0 is both an integer and a natural number______ Judge right or wrong
• 2. The concept of natural number
• 3. There is an operation program, when a ⊕ B = n (n is a constant), define (a + 1) ⊕ B = n + 1, a ⊕ (B + 1) = n-2, now known 1 ⊕ 1 = 2, then 2010 ⊕ 2010=______ ．
• 4. There is an operation program, can make: a ⊕ B = n (n is a constant), get (a + 1) ⊕ B = n + 1, a ⊕ (B + 1) = n-2, now known, 1 ⊕ 1 = 2, then 2013 ⊕ 2013=______ ;2014⊕2014=________
• 5. There is an operation program that can make (a + 1) ⊕ B = n + 1, a ⊕ B + 1 = n-2 when a ⊕ B = n (n is a constant). Now we know that 1 ⊕ 1 = 2, then 3 ⊕ 3=______ ．
• 6. There is an operation program, which can make a ⊕ B = n (n is a constant), get (a + 1) ⊕ B = n + 1, a ⊕ (B + 1) = n-2=______ ．
• 7. There is an operation program that can make (a + 1) ♁ B = n + 2, a ♁ (B + 1) = n-3, 1 ♁ 1 = 42009 ♁ 2009 =?
• 8. m. N is a non-zero natural number, m × 25 of N & lt; m, m × 22 of N & gt; m, find the value of n!
• 9. If the quotient of natural number a divided by natural number B is 9, then the greatest common factor of a and B is () reason
• 10. What is the limit of xlnx + X when x tends to zero
• 11. It is proved that M = 2006 ^ 2 * 2007 ^ 2 + 2006 ^ 2 + 2007 ^ 2 is a complete square number
• 12. F (x) defined on a set of positive integers is a positive integer for any m, N, where f (M + n) = f (m) + F (n) + 4 (M + n) - 2, and f (1) = 1 [1]
• 13. Let f (x) = ax ^ 2 + BX + C, where a is a positive integer, B is a natural number, and C is an integer If the inequality 4x ≤ f (x) ≤ 2 (x ^ 2 + 1) holds for any real number x, and there exists x0 such that f (x0)
• 14. If x ^ 2 + ax-9 = (x + m) (x + n) m, n is a positive integer, then the value of natural number a is? A.0, - 8.8b. Plus or minus 8 c.0, - 8 d.0,8 d.0
• 15. The result of (X & sup3; + MX + n) × (X & sup2; - 5x + 3) does not contain the terms of X & sup3; and X & sup2; to find the value of M, n
• 16. Given that the equation (m-2) x ^| M-1 | + (n + 3) y ^ (n-8) = 6 is a quadratic equation of two variables, find the value of M and n It's a process
• 17. Given that X and y are natural numbers and satisfy XY + X + y = 11, we can find the value of X and y
• 18. Given that x, y are natural numbers, x > y and satisfy (x + y) + (x + xy-y) + X / y = 243, find the value of X + y
• 19. a. B and N are fixed natural numbers, and for any natural number k (K ≠ b), A-K ^ n can be divisible by B-K, it is proved that a = B ^ n
• 20. Let every element of a nonzero square matrix of order n be equal to its algebraic cofactor, and prove that R (a) = n