Let D: (X-2) 178; + (Y-1) 178; ≤ 1, compare the sizes of I & # 8321; = ∫∫ D (x + y) d σ, I &; = ∫∫ D (x + y) & # 178; D σ, I & # 8323; = ∫∫ D (x + y) & # 179; D σ
This double integral should be solved by using the properties of double integral, mainly by using monotonicity
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- 1. Let the left and right vertexes of hyperbola X & # 178; / 2-y & # 178; = 1 be a &;, a &;, P (X &;, Y &;), q (X &;, - Y &;) respectively, which are two different moving points on the hyperbola, and the equation for finding the locus e of the intersection of a &; P and a &; Q
- 2. It is known that the intercept of the image of the first-order function y & # 8321; = (M & # 178; - 2) x + 1-m and Y & # 8322; = (M & # 178; - 4) x + M & # 178; - 3 on the y-axis is opposite to each other, then the analytic expression of the two first-order functions is?
- 3. It is known that y = y &; + Y &;, Y &; is positively proportional to X & sup2;, Y &; is positively proportional to x + 3, and when x = 0, y = 2; when x = 1, y = 2 It is known that y = y &; + Y &;, Y &; is positively proportional to X & sup2;, Y &; is positively proportional to x + 3, and when x = 0, y = 2; when x = 1, y = 2 =0, try to find the analytic expression of function y,
- 4. It is known that y = y1-y2, Y1 and X are in positive proportion, Y2 and X2 are in inverse proportion, and when x = 1, y = - 14; when x = 4, y = 3. Find: (1) the functional relationship between Y and X; (2) the value range of independent variable x; (3) the value of y when x = 14
- 5. If we know the linear function y &; = X-5 and Y &; = 2x + 1, and Y &; ≥ Y &;, then the value range of X is
- 6. If the line 2x-y-10 = 0 passes through the line 4x + 3y-10 = 0 and ax + 2Y + 8 = 0, then a= Detailed process online, thank you
- 7. Find the straight line equation through the intersection of 4x-y-2 = 0 and 3x + 2y-7 = 0, and the angle with the straight line x + 3y-6 = 0 is 45 degrees Thank you. I hope you can hurry up. I'm in a hurry
- 8. 3. The linear equation passing through the intersection of two lines 3x-2y + 10 = 0 and 4x-3y + 2 = 0 and perpendicular to the line 2x-3y + 1 = 0
- 9. The distance from point P (- 2,1) to line 4x-3y + 1 = 0 is equal to?
- 10. If the distance from point P (a, 3) to the line 4x-3y + 1 = 0 is equal to 4 and in the plane region represented by the inequality 2x + Y-3 < 0, then the coordinates of point P are______ .
- 11. It is known that the image of inverse scale function y & # 8321; = m / X passes through point a (- 2,1), and the image of linear function y & # 8322; = KX + B (K ≠ 0) passes through point C (0,3) and point a, and intersects with the image of inverse scale function at another point B (1) The analytic expressions of inverse proportion function and linear function are obtained respectively; (2) Find the area of triangle OAB; (3) There is a point P on the x-axis to make the triangle OAP isosceles triangle and write its coordinates
- 12. In the graph of function y = - K / X (k < 0), there are three points (- 2, Y &;), (- 1, Y &;) Q: what is the size of the function values Y &;, Y &;, Y &?
- 13. We know that the image of positive scale function y = K &; X intersects with the image of linear function y = K &; X-9 at point P (3, - 6). 1. Find K &;, K & 2. If the image of a linear function intersects the X and Y axes at points a and B respectively, the area of △ ABP is calculated
- 14. It is known that the image of positive scale function y = (K + 2) x has two points a (X &;, Y &;) B (X &;, Y &;) When X &; < x &;, Y &; > y &;, then the value range of K is______ .
- 15. What is m = if the coordinates of the intersection of the straight lines Y &; = x + 3 and Y &; = - x + B are (m, 8) B =, when x, y ﹥ y ﹥ 8321; > y ﹥ 8322;, the intersection of the line y ﹥ 8321; and the x-axis is, and the intersection of the line y ﹥ 8321; and the y-axis is
- 16. It is known that Y &; = 2x-1 / 3, Y &; = x + 2 / 4. When x takes what value, Y &; is smaller than y &; by 1 Urgent process~
- 17. It is known that L1: x + ay-2a-2 = 0, L2: ax + y-1-a = 0 (1) If L1 ‖ L2, try to find the value of A (2) If L1 ⊥ L2, try to find the value of A
- 18. Given that the lines L1: y = AX-2 and L2: y = (2a + 1) x + 1 are perpendicular to each other, then a is equal to? None Given that the lines L1: y = AX-2 and L2: y = (2a + 1) x + 1 are perpendicular to each other, then a is equal to? No solution, so that a is equal to - 1 or 1 / 2
- 19. If the lines L1: ax + (1-A) y = 3, L2: (A-1) x + (2a + 3) y = 2 are perpendicular to each other, then the value of a is () A. 0 or - 32B. 1 or - 3C. - 3D. 1
- 20. If the lines L1: ax + (1-A) y = 3, L2: (A-1) x + (2a + 3) y = 2 are perpendicular to each other, then the value of a is () A. 0 or - 32B. 1 or - 3C. - 3D. 1