Fractional mathematical problems one Given x + 1 / y = Z + 1 / x = 1, find the value of Y + 1 / Z two Solution equation: (x-4) / (X-5) - (X-5) / (X-6) = (X-7) / (X-8) - (X-8) (X-9)

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• 1. When listening to fractions, the teacher said that it was meaningful to consider fractions. When should we consider fractions? When should we consider fractions or when should we consider fractions?
• 2. A mathematical problem about fraction If the fractional equation 2 (x + a) / a (x-1) = - 8 / 5 has no solution, then a=____ . the whole process of solving the problem
• 3. On a problem of mathematical fraction If the reduction result of a fraction is a + 2 / 3, then the value range of a is a ≠ - 3, then 1 / 2 of A-2 appears in the reduction process (or the original formula), then does the value range consider 2?
• 4. A mathematical problem about fraction in grade two of junior high school When calculating a + [(bc-a ^ 2) / (a ^ 2 + B ^ 2 + C ^ 2)] (a, B, C are not equal to each other), Xiao Fang found that if a and B are exchanged, the value of this formula is unchanged; if a and C are exchanged, the value of this formula is also unchanged. For example, a + B + C = 1, the constant value is obtained Seek a clear solution process
• 5. A mathematical fraction test Fill in question 15. How did you get it? Why? Because f (n) + F (1 / N) = 1 So f (2) + F (1 / 2) +... + F (n) + F (1 / N) = n-1?
• 6. During the Dragon Boat Festival, a shop bought a batch of zongzi for 5000 yuan. During the festival, each box was sold at a price of 30% higher than the purchase price, and 80 boxes were sold. After the festival, each box was sold at a price of 5 yuan lower than the purchase price, and the remaining zongzi were sold out. The whole business process made a profit of 1100 yuan. For the purchase price of each box of zongzi, please use the number of boxes to set the fractional equation, not the profit
• 7. A and B go to the same wholesale market every time to buy white sugar. A's purchasing strategy is to buy 1000 yuan of sugar each time; B's purchasing strategy is to buy 1000 Jin of sugar each time. Recently, they both went to buy sugar with different prices twice. Who's the average price lower?
• 8. A problem of mathematical fraction ① After learning fractional equation, Xiao Wang found that: A, 1 / a are the two roots of the equation x + 1 / x = a + 1 / A, please verify his conclusion. ② use a conclusion to solve the equation x + 1 / (x-1) = a + 1 / (A-1) I just need the second answer, don't copy it from Baidu, that answer is wrong
• 9. (xsquare + 7x + 10) / (xsquare + 6x + 5) × (xsquare + 4x + 4) / (xsquare - x + 1) / X-2, where x = 4
• 10. Eight mathematical fractions (1) Given 1 / X-1 / y = 5, find the value of fraction 3x + 5xy-3y / x-3xy-y (2) Given x + 1 / x = 3, find the value of fraction x ^ 2 + 1 / x ^ 2
• 11. If the image of the linear function y = (2-m) x = m does not pass through the third quadrant, then the value range of M is Wrong number in the back. It's x + m, Xie 1L
• 12. In the linear function y = (2m + 2) x + m, y decreases with the increase of X, and its image does not pass through the first quadrant, then the value range of M is () A. m＞-1B. m＜-1C. m=-1D. m＜1
• 13. In the linear function y = (2m + 2) x + m, y decreases with the increase of X, and its image does not pass through the first quadrant, then the value range of M is () A. m＞-1B. m＜-1C. m=-1D. m＜1
• 14. It is known that the image of the first-order function y = (2m-1) x + 1-4m of X does not pass through the third quadrant, then the value range of M is
• 15. If the intersection of the line y = 2X-4 and the line y = 4x + B is in the third quadrant, the value range of B is obtained,
• 16. We know that the first-order function y = (3m-6) x + m + 1, when m____ The image does not pass through the first quadrant
• 17. If f (x) = (m ^ 2-1) x + m ^ 2-3m + 2, if f (x) is a decreasing function, and f (x) = 0, if f (x) ≥ x ^ 2, find the value range of X
• 18. If the line y = 4x + 3m-1 intersects with the line y = x-m-4, and the intersection point is in the third quadrant, then the value range of M is the same
• 19. Given the square of M - 7m + 2 = 0, the square of Nd - 7n + 2 = 0, find n / M + m / N =?
• 20. Given that M is the solution of quadratic equation x2-9x + 1 = 0, then m2-7m + M2 + 1 / 18=