The area of the plane region represented by X + Y-2 ≤ 0, y ≥ x, X ≥ 0 can be found in mathematics of senior two

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• 1. In the plane rectangular coordinate system, P is the moving point on the curve C: y = x / 1 (x > 0) In the plane rectangular coordinate system, P is the moving point on the curve C: y = x / 1 (x > 0), and the intersection of the line L: y = x and the curve C is P0. If AP > = ap0 is constant for any point a on the line L, then the value range of abscissa of point a is 0___ Wrong type of curve C, should be y = 1 / X
• 2. It is known that circle C: x2 + (Y-1) 2 = 5, straight line L: mx-y + 1-m = 0 (1) Judge the position relationship between line L and circle C (2) If the line L intersects the circle C at points a and B, and the length of AB is the smallest, the value of M is obtained It's (Y-2) 2. I was inspired by what I did on the second floor. Is m equal to 1 when Y-2?
• 3. As shown in the figure, the circle C: (x-1) 2 + y2 = R2 (R & gt; 1) Let m be the intersection of the circle C and the negative half axis of the x-axis, and let m be the chord Mn of the circle C passing through M, and let its midpoint P just fall on the y-axis. (I) when r = 2, find the coordinates of the point P satisfying the condition; (II) when R ∈ (1, + ∞), find the equation of the locus g of point n; (III) the line L passing through point P (0,2) intersects with the locus g in (II) at two different points E and F, if CE · CF & gt; 0, find the value range of the slope of the line L
• 4. If two circles intersect at points a (1,3) and B (m, - 1), and the centers of the two circles are on the straight line x + y + C = 0, then the value of M + C is () A. 0B. 2C. -3D. -1
• 5. Given two straight lines L1: MX - (2m-3) Y-1 = 0, L2: (2m + 5) x + (M + 6) Y-7 = 0, if L1 / / L2 find the value of M
• 6. If the line L1: MX + Y - (M + 1) = 0 is parallel to the line L2: x + my-2m = 0, then M=______ ．
• 7. Given the line L1: MX + Y-1 = 0 and the line L2: x + my-2m = 0, when m = 0, L1 is parallel to L2
• 8. Given the two equations L1: MX + 3Y = 0, L2 "MX + (m-2) y + = 0", when L1 is parallel to and perpendicular to L2, the range of M is calculated
• 9. It is known that two straight lines L1: MX + Y - (M + 1) = 0 and L2: x + my-2m = 0. When the value of real number m is taken, the relationship between L1 and L2 is as follows: (1) intersection; (2) coincidence; (3) perpendicularity
• 10. Let m ∈ R, X ∈ R, compare the size of x2-x + 1 and - 2m2-2mx
• 11. Given the set a = {(x, y) | x | + | y | ≤ 1}, B = {(x, y) | (Y-X) (y + x) ≤ 0}, let m = a ∩ B, then the area of the plane region corresponding to m is______ ．
• 12. It is known that a > 0, b > 0 and a + B0, b > 0 and a + B = 1 / 2 B, 1 / A + 1 / b > = 1 C, AB > = 2 D, 1 / (a square + b square) under the root sign
• 13. Given a > = 0, the function f (x) = (x ^ 2-2ax) e ^ X Given a > = 0, the function f (x) = (x ^ 2-2ax) e ^ X 1) When what is the value of X, f (x) gets the minimum? Prove your conclusion 2) Let f (x) be a monotone function on [- 1,1] The process needs to be clear
• 14. Let p be a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) Given that point P is a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), F1 and F2 are the two focuses of the ellipse, and there is a point P on the ellipse, which makes ∠ f1pf2 = 60 degree 1. Calculate the value range of ellipse eccentricity 2. Calculate the area of △ pf1f2
• 15. If XY belongs to R and has 2x + y + xy = 6, then the maximum value of 2x + y?
• 16. It is known that the line L: x-y-1 = 0 and the circle C: (x-3) square + (y-4) square = 2 are tangent to point P and pass through point P Given that the line L: x-y-1 = 0 and circle C: (x-3) square + (y-4) square = 2 are tangent to point P, the line L1 passing through point P intersects circle C at another point Q, and the length of segment PQ is 2, the L1 equation is solved
• 17. x²/m+2+y²/3-m=1 Let m = 2, the line L passing through point d (0,4) intersects curve C with two points m,. N, and O is the origin of the coordinate. If △ omn is a right triangle, the slope of L is obtained
• 18. Known circle C: (x-3) ^ 2 + y ^ 2 = 100. A (- 3,0) Following title: P is any point of circle C, the vertical bisector l of line PA intersects PC at Q point, and the trajectory equation of Q point is obtained Make a straight line AB through the point P (1,1), which respectively intersects the positive half axis of X axis and the positive half axis of Y axis at two points a (a, 0). B (0, b). When a is the value, the area of triangle AOB is the smallest, and what is the minimum area?
• 19. Quick calculation formula of profit rate I'd like to ask my brothers, sisters, brothers and sisters. For example, I sold 5000 yuan of products, and the unit price profit of each product is 60%. What's the cost and profit of 5000 yuan? How can I get a formula? If 5000 * 60% (0.6) = 3000 yuan, is the profit? And 2000 yuan is the cost? So I think my actual cost is close to 3000 yuan, but the profit is less than 2000 yuan. If my unit cost is 1.2 yuan, then I want 300 yuan for 5000 yuan sales, How do I get a formula? How many times 1? Please give it to a specific company. Please bring a formula with numbers. I'm not good at math. I'm going to study accounting today
• 20. Beijing Olympic Games + Olympic Games + Olympic Games = 2008 what are the numbers of Beijing, Beijing, Olympic Games and Olympic Games