Given that a and B are real numbers, the size of a ^ 2 + B ^ 2 and ab is Do you know the situation

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• 1. It is known that a is equal to 2 times a minus a plus nine fourths, B is equal to 2 times a plus one. For any real number a, compare the size of a and B
• 2. 1. If a times 4 / 5 = B divided by 4 / 5 = C, and ABC is greater than 0, then () > () > 2. It is known that a multiplied by 1 / 2 = B multiplied by 0.05 = C divided by 1 and 1 / 3, where the largest number is ()
• 3. It is known that A. B belongs to real number r. compare a ^ 4 + B ^ 4 with (a ^ 3) B + (b ^ 3) a?
• 4. We know that a is a real number, a = a ^ 2 / (a ^ 4 + 1), B = a ^ 4 / (a ^ 6 + 1), compare the size of a and B I hope it can be explained more clearly
• 5. It is known that a and B are real numbers, and a, B = 3, a + B = 4 1, general points, A-1 points of a + 1, B-1 points of B + 1 2. Try to find the value of a + 1 of A-1
• 6. Let a and B be two real numbers. How to compare the sizes of a and B?
• 7. a. B, C ∈ positive real number, a ^ 2 + B ^ 2 = C ^ 2. When n ∈ n, n > 2, please compare the size of C ^ n and a ^ n + B ^ n thank you
• 8. Verification: for any real number a and B, there is │ a + B │ ≤ │ a + │ B │. (hint: for any real number a, there is - │ a │ ≤ a ≤ │ a │)
• 9. We know that a and B are positive real numbers, and prove that: (a + b) × (1 / A + 1 / b) ≥ 4
• 10. How to prove a (a-b) ≥ B (a-b) for real numbers a and B
• 11. Given that a and B are positive real numbers, compare the size of (a) ^ a (b) ^ B with (AB) ^ (a + B / 2) Is there anything more understandable than the "quotient comparison method" that can be found now
• 12. If a and B are real numbers, compare a ^ 2 + B ^ 2 with ab
• 13. For any positive real numbers a and B, the size relation between (a ^ 2 + B ^ 2) / 2 and ab is studied For any positive real number a, B, the size relation with AB is studied (1) Substituting the numerical value, comparing the size, finding the law ① When a = 3, B = 1, (a ^ 2 + B ^ 2) / 2 > AB; ② When a = root 3, B = root 3, (a ^ 2 + B ^ 2) / 2___ ab; ③ a=___ ,b=___ (a ^ 2 + B ^ 2) / 2___ ab; Conjecture: for any positive real number a, B, (a ^ 2 + B ^ 2) / 2___ ab. (2) Construct graph to verify conjecture The algebraic formula (a ^ 2 + B ^ 2) / 2 can be expressed by the sum of the areas of two isosceles right triangles whose waist length is a and B respectively. The above conjecture can be verified by means of the splicing and segmentation of the two triangles (3) Application Explore: the maximum area of a right triangle with a hypotenuse of 5
• 14. The difference between integer, real number, natural number and rational number? What are integers and include 0? What is a real number and does it include circular decimals? What are rational numbers and irrational numbers? What is natural number and whether it includes 0
• 15. Natural number, integer, real number and so on There are natural numbers, integers, positive numbers, negative numbers, rational numbers, irrational numbers, and so on
• 16. The difference between imaginary number and real number
• 17. In the original operation of real number, we define the new operation "⊕" as follows: when a ≥ B, a ⊕ B = a; when a < B, a ⊕ B = B & # 178 Let f (x) = (1 ⊕ x) - (2 ⊕ x) x, X ∈ [- 2,2] 1, find the analytic expression 2 of F (x), and find the range of F (x)
• 18. In the equilateral triangle ABC, D is the middle point on the edge of BC, and ad is the edge of the equilateral triangle ade In the equilateral triangle ABC, D is the midpoint on the edge of BC, and ad is the edge of the equilateral triangle ade. (1) find the degree of angle CAE; (2) take the midpoint f on the edge of AB, connect CF, CE,
• 19. If ab ≠ 0, then the value of | a | a + | B | B cannot be () A. 0B. 1C. 2D. -2
• 20. If ab ≠ 0, then the value of | a | a + | B | B cannot be () A. 0B. 1C. 2D. -2