Put 1,2,3 The 100 natural numbers are randomly divided into 50 groups with two numbers in each group. Now, one of the two numbers in each group is recorded as a and the other as B

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• 1. Observe the following equations: 9-1 = 8, 16-4 = 12, 25-9 = 16, 36-16 = 20 Let n be a positive integer. The following equation is () A. （n+2）2-n2=4（n+1）B. （n+1）2-（n-1）2=4nC. （n+2）2-n2=4n+1D. （n+2）2-n2=2（n+1）
• 2. 1. If 2013a ^ MB ^ 3-m and - 156ab ^ n are of the same kind, find the value of (m-n) ^ 2014 2. If the polynomial 5x ^ 2Y ^ | m | + (n-3) y ^ 2-2 is a quartic binomial about XY, find the value of m ^ 2-2mn + n ^ 2
• 3. Mathematical problems (algebra) 12 times a number is greater than 5 times that number by 49.Find that number. Column plus explanation
• 4. Ask some algebra math questions (1) It is known that a = - 2004, B = 2003, C = - 2002, a & sup2; + B & sup2; + C & sup2; + AB + BC AC (2) To find the digit of the product of 2 to the power of 1990 and 3 to the power of 1991 (3) Find X-Y when x + y = 7, X & sup2; + Y & sup2; = 25 (4) Given that a, B, C, D are nonnegative integers, and AC + BD + AD + BC = 199, find a + B + C + D (5) Given a & sup2; - 3A + 1 = 0, find the negative quadratic power of a + 1 / a A & sup2; + A, the quartic power of a + the negative quartic power of A One more question: given X-Y = 5, Y-Z = 4, find X & sup2; + Y & sup2; + Z & sup2; - xy-z & sup2; This problem may be wrong. If not, please solve it
• 5. Mathematical problems are expressed in algebra Fold a piece of paper in half once to get a crease, the second time to continue to fold to get three creases, the third time to fold to get seven creases, then the total number of creases is ()
• 6. A mathematical problem of algebra If the nonzero real numbers a and B satisfy a ^ 2 + A-1 = 0 and B ^ 2 + B-1 = 0, then the value of B / A + A / B is?
• 7. If the sum of three consecutive odd numbers is 153, then the three numbers are______ 、______ 、______ ．
• 8. The sum of three consecutive natural numbers is 153. What are the three natural numbers
• 9. The sum of three continuous natural numbers is 153. What are the three numbers
• 10. The sum of three continuous natural numbers is equal to 78. Find the number of these three numbers and solve the equation
• 11. Put 1, 2, 3 The 100 natural numbers, 100, are randomly divided into 50 groups with two numbers in each group. Now, record any value of the two numbers in each group as a and the other as B, and substitute them into the algebraic formula 12 (| A-B | + A + b) to calculate the result. After 50 groups of numbers are substituted, 50 values can be obtained, then the maximum sum of the 50 values is___ ．
• 12. The 100 natural numbers 1,2,3, ·······, 100 are randomly divided into 50 groups, each group has two numbers, one of which is recorded as a, the other as B, Substituting into the algebraic formula # (189); (a + b-la-bl), we can get the result. After 50 groups are substituted, we can get 50 values, and find the minimum value of the sum of these 50 values (briefly explain the reason)
• 13. Divide the 100 natural numbers 1,2,3,4 ······ 100 into 50 groups with two numbers in each group. First, record any number of the two numbers in each group as a The other is denoted as B, which is substituted into the algebraic formula 1 / 2 (| a + B | + A + b) to calculate the result. After 50 groups are substituted, 50 results can be obtained, and the maximum value of these 50 values can be obtained
• 14. Put 1, 2, 3 The 100 natural numbers are randomly divided into 50 groups with two numbers in each group. Now, mark any number in each group as a and the other as B, and substitute them into the algebraic formula 0.5 (| A-B | + A + b) to calculate the result. After 50 groups of numbers are substituted, 50 values can be obtained, and the maximum sum of these 50 values can be obtained
• 15. Put 1,2,3 The 100 natural numbers are randomly divided into 50 groups with two numbers in each group. Now, one of the two numbers in each group is recorded as a and the other as B Take it into algebraic formula 1 / 2 (a + B - | A-B |) to calculate and get the result. After 50 groups are brought in, you can get 50 values, and find the [minimum value] of the sum of these 50 values
• 16. Put 1, 2, 3 These 100 natural numbers are randomly divided into 50 groups with two numbers in each group. Now, any one of the two numbers in each group is recorded as a and the other as B , which can be substituted into the algebraic formula 1 / 2 (| A-B | + A + b) for calculation, and the results can be obtained. After 50 groups of substitution, 50 values can be obtained, and the maximum value of sum can be obtained
• 17. If a natural number (except 0) is an odd number multiplied by 3 plus 1, and an even number divided by 2, what will happen? What is this phenomenon called? Why
• 18. For a natural number, do the following operation: if it is an even number, divide by 2; if it is an odd number, do the following operation for a natural number: if it is an even number, divide by 2; if it is an odd number, add 1. Do this until 1, and the operation stops. Find how many numbers become 1 after 10 operations?
• 19. If it is even, divide it by 2. If it is odd, multiply it by 3 and then add 1, What's the final result, A0, B1, C2, D3
• 20. Write a natural number (except 0), which is even, divide it by 2, which is odd, multiply it by 3, and then add 1 If you repeat this method, you can get a lot of numbers. What do you find after you get a lot of numbers