As shown in the figure, P (a, b), q (B, c) are the points of inverse scale function y = 3x in the first quadrant. Find the value of (1a − b) (1b − C)

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• 1. As shown in the figure, given that the points P (a, b), q (B, c) are the points of the inverse scale function y = 5 / X in the first quadrant, find the value of (1 / a-b) * (1 / B-C) = 4 / 5
• 2. It is known that the system of equations (x + 1) ^ 2 + y ^ 2 = 2, y = - x + B has a real solution, and the image of the inverse scale function y = 1 + B / X in each quadrant, y increases with the increase of X. if the point (a, 3) is on the hyperbola, find the value of A
• 3. If the image of the inverse scale function passes through points (1, 3) (1) find the analytic expression of the inverse scale function; (2) find the intersection coordinates of the primary function y = 2x + 1 and the image of the inverse scale function
• 4. Two mathematics problems about inverse proportion function in grade three of junior high school 1. Point P is any point of the function y = 4 / X in the image of the first quadrant. The symmetrical point of point P about the origin is p ', passing through point P as PA parallel to the Y axis, passing through point P' as p'a parallel to the X axis, PA and p'a intersect at point A. when point P moves on the image, what will happen to the area of triangle app '? Explain the reason 2. It is known that the image of inverse scale function y = 1 / X and primary function y = 2x-1 has an intersection point a (1, a). Is there a point P on the x-axis, so that the triangle POA is an isosceles triangle? If so, explore the coordinates of point p; if not, explain the reason
• 5. Ask a math question. About the inverse proportion function of grade three It is known that the intersection point in the first quadrant of the image of the first-order function y = x + m and the inverse scale function y = x / M + 1 (m ≠ 1) is p (XO, 3) (1) Finding the value of XO (2) Find the analytic expressions of the first-order function and the inverse proportion function
• 6. Given that the image of inverse scale function y = K / X (K ≠ o) intersects with the image of primary function y = KX + m (K ≠ 0) at a (2,1), find B
• 7. A swimming pool has one intake gate and one discharge gate. A pool can be filled with water after 4 hours of water intake, and a pool can be finished after 6 hours of water discharge. When the water in the pool accounts for one fourth of the full pool, the intake gate and the discharge gate are opened at the same time. The opening time of the two gates is expressed by XH, and the percentage of the water in the pool is expressed by y (1) Find the functional relationship between Y and X, and write out the value range of the independent variable x; (2) Ask for the opening time of the two gates when the pool has one quarter of the water to one half of the water I feel like I'm going to be an idiot I can't do my homework
• 8. A mathematical problem of quadratic function in junior high school (speed) China is one of the countries with serious water shortage in the world. In order to enhance the residents' awareness of water saving, a municipal water supply company charges for the residents' water consumption by taking the household as the unit. That is to say, users with water consumption less than 10 tons (including 10 tons) per month will be charged a yuan per ton; users with water consumption more than 10 tons per month will still be charged a yuan per ton, and users with water consumption more than 10 tons will be charged a yuan per ton, The charge is B yuan per ton (b > A). If a household uses X tons of water per month, it should charge y yuan. The functional relationship between Y and X is shown in the figure 1. For the value of a, how much should a household charge for using 8 tons of water last month? 2. Find the value of B, and write the functional relationship between x > 10, y and X It is known that resident a used 4 tons more water last month than resident B. the two families charged 45 yuan. How many tons of water did they use last month?
• 9. If Y-1 is proportional to 2-x, then the following statement is correct () A. Y is a linear function of X B. Y is a linear function of X C. It's a function of X, but it's not a positive scale function D. Y is not a function of X Is y a linear function of X? Why? y=-kx+2k+1 So if y is a function of X, is it a linear function? B is a positive proportional function
• 10. Mathematical problems of first degree function in the second grade of junior high school 1. A worker works from 7:00 to 11:00 in the morning. At first, he takes 15 minutes to prepare, and then processes a part every 15 minutes ① Find the functional relationship between Y in the morning time and X parts processed ② How many parts did he finish machining at 8 o'clock?
• 11. It is known that the inverse scale function image y = K / X and the first-order function y = x + B Intersection a (1, - K + 4), B (n, - 1) Function expression and the value of n
• 12. Given the inverse scale function y = K / x, when x = - 4, y = 6, then the value of K is_____
• 13. Given the inverse proportion function y = k of X, when x = - 1 / 3, y = - 6, find the analytic solution of the inverse proportion function. Thank you
• 14. 1. It is known that y is the inverse proportional function of X, and when x = 2, y = 8. Find the functional relationship between Y and X? 2, and find the value of y when x = 1 / 2 When x takes what value, y = 4 / 3?
• 15. Given that y is the inverse proportional function of X + 1, when x = 3, y = 8, find the value of y when x = - 3?
• 16. Given that y = M-3 / x ^ m ^ 2-8 is an inverse proportion function, then the value of M is?
• 17. If the image intersection AB and two AB a of a given linear function y = ax and inverse scale function y = x B + 1 are (1,2), then the expression and B coordinate After answering the correct to add large points If the image intersection AB and two AB a of the linear function y = ax and inverse scale function y = B + 1 of X are (1,2) There is also a picture of a straight line passing through the upper left corner and the lower right corner and a line with two bends Straight line passing through intersection Finding the expressions of two functions and B coordinates
• 18. If the image of inverse scale function y = K / X passes through point P (- 1,2), then the image of this function lies in__ ? Why 2,4 image line? I calculate y = x - 2, hee hee~ Why does it increase
• 19. It is known that the inverse proportional function y = m + 3 of X passes through points a (2, - M) and B (n, 2n) Finding the values of (1) m and n (2) If there are two points P1 (x1, Y1) and P2 (X2, Y2) on the image, and X1 < 0 < X2, try to compare the size of Y1 and Y2
• 20. Are y = 1 / X and y = 1 / x-3 inverse scale functions