When m is the value, the solution of equation 2 (2x-3) = 2x is the same as that of equation 8-m = 2 (one third x + m)

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• 1. How to understand the concept of limit in higher numbers When we calculate the area of a trapezoid with curved edges, we divide it into n rectangles. When n →∞, we can think that the area of these n rectangles is equal to the area of the trapezoid with curved edges. However, no matter how large N is, there is always a "gap" that can not be covered by the rectangle. In this way, is the area we calculate not too small?
• 2. Higher number -- the idea of proving the limit of sequence by definition ”Let {xn} be a sequence of numbers. If there is a constant a, for any given positive number ε (no matter how small it is), there is always a positive integer n, so that when n > N, the inequality | xn-a | n "can be described in language, what it stands for
• 3. 1. It is known that the two vertices of triangle ABC are a (0,0) B (6,0), and vertex C moves on the curve (xsquare / 16) - (ysquare / 9) = 1-------- 2. If the points P and Q are on the parabola y square = 4 (x square), O is the origin of the coordinates, and (OP vector) x (OQ vector) = 0, then the fixed-point coordinates of the straight line are--------- 3. Given triangle ABC, if Mn is the midpoint of AB and AC respectively, then the product of eccentricity of ellipse and hyperbola with B and C as focus and passing through M and N is--------
• 4. Let the point P (5.2) F1 (- 6.0) F2 (6.0) be p ` F1 ` F2 'respectively with respect to the symmetrical point of the straight line y = x, and find the standard equation of the hyperbola with the focus of F1 ` F2' and passing through the point P '.
• 5. 1、 Let the vector OA = (3, - root 3), OB = (COS a.sin a), where 0 is less than or equal to a, less than or equal to two-thirds, if the vector AB = root 13, find the value of Tan A / find the maximum area of triangle AOB two, known sequence {an} is the equal ratio sequence of first term A1 = 1, and an ＞ 0, {BN} is the arithmetic sequence of first term 1, and A5 + B3 = 21, A3 + B5 = 13, find the general term formula of {an} {BN}, Finding the first n terms and Sn of sequence {molecule BN denominator 2An}
• 6. 2 times (a quadratic + B quadratic + C quadratic) > a quadratic (B + C) + B quadratic (a + C) + C quadratic (a + b) Here's a picture of you. You can see it more clearly
• 7. It is known that the center of the ellipse is at the origin and the focus is on the x-axis. The area of the quadrilateral obtained by connecting its four vertices is 42. Connect a point on the ellipse (except the vertex) and the four vertices of the ellipse respectively. The product of the slopes of the four straight lines where the line segment is located is 14. The standard equation of the ellipse is obtained
• 8. On ellipses The coordinates of two fixed points a and B of triangle ABC are respectively - 6060. The product of the slope of the straight line where AC BC is located is equal to - 9 / 4. Find the trajectory equation of fixed point C
• 9. 1. The A.B.C of the ellipse is known to be an equal ratio sequence, and the eccentricity is calculated 2. If the endpoint of the minor axis of the ellipse and the two focal points form an isosceles right triangle, calculate the eccentricity
• 10. Is there a point Q on the positive half axis of the x-axis for the motion of the moving point P on the ellipse with the equation x ^ 2 / 9 + y ^ 2 / 4 = 1, so that the shortest distance between the point on the trajectory equation of Q and P is 1? If there is, find the Q coordinate. If not, explain the reason
• 11. The walking speed ratio of Party A and Party B is 13:11. If Party A and Party B set out from both places at the same time and walk in opposite directions, they will meet in 2.5 hours. If they walk in the same direction,
• 12. If a times 1 / 9 = B times 5 = C times 1 / C (C is not equal to 0), then what are a and B respectively?
• 13. From a to B, it takes 8 hours for a bus and 12 hours for a truck. Now the two cars travel from a to B at the same time. How many hours have the two cars gone through the whole journey?
• 14. If point P (2,1) is the midpoint of a string ab of parabola y ^ 2 = 4x, the equation of AB is solved The coordinate of the point with the smallest distance from the parabola y = x ^ 2 + 2x + 1 to the straight line y = 2x-2 is?
• 15. According to the previous statistical data, if the retail price is set at 4 yuan per bottle, 400 bottles can be sold every month; if the retail price is reduced by 0.05 yuan, 40 bottles can be sold more. & nbsp; therefore, please design a plan for the store: how much yuan should the selling price be set and how many bottles of this kind of beverage can be purchased every month to get the maximum profit?
• 16. If lx-3l + LX + 5L = 0, then x + y=
• 17. The students of class A, class B and class C planted 66 trees. The trees planted in class A were twice as many as those planted in class B. the ratio of trees planted in class C and class B was 2:3 How many trees to plant each? (cubic equation)
• 18. How many solutions are there for the quadratic equation 3x + y = 10, positive integer solutions
• 19. On the calendar of a month, can you circle 3 * 3 numbers with a square so that the sum of these 9 numbers is 93? If so, what are the dates of the nine days?
• 20. Note: no matter what value x and Y take, the value of polynomial x ^ 2 + y ^ 2 + 2x + 4Y + 8 is always positive