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?

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• 1. 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?
• 2. 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?
• 3. 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,
• 4. 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)
• 5. 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?
• 6. 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
• 7. 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--------
• 8. 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 '.
• 9. 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}
• 10. 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
• 11. 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?
• 12. If lx-3l + LX + 5L = 0, then x + y=
• 13. 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)
• 14. How many solutions are there for the quadratic equation 3x + y = 10, positive integer solutions
• 15. 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?
• 16. Note: no matter what value x and Y take, the value of polynomial x ^ 2 + y ^ 2 + 2x + 4Y + 8 is always positive
• 17. Four numbers are equal to 9, with an expression to achieve the result is equal to 100 Four numbers are equal to 9, can you use an expression to achieve the result equal to 100
• 18. Given that the quadratic power of A-6A + 9 and / B-1 / are opposite to each other, what is the result of calculating the cubic power of a, the cubic power of B + the quadratic power of 2a and the quadratic power of B + AB
• 19. A number is a multiple of 9 and a factor of 72. This number should be
• 20. The side area of a cylinder is 314 square centimeters, and its height is 20 centimeters. How many cubic decimeters is the volume of this cylinder