The historical background and development of the Great Wall
Background: the Great Wall in northern China began in the Warring States period, Qin, Zhao and Yan. During the Warring States period, Xiongnu also became strong and plundered the northern border of Qin, Zhao and Yan. In order to prevent Xiongnu from plundering to the south, King Zhao ordered to build the Great Wall on the northern border of Longxi, Beidi and Shangjun, and sent troops to guard Mengtian in Qin Dynasty
RELATED INFORMATIONS
- 1. Try to find the parabolic equation of focus f (- 1,0) and quasilinear L: x = 3
- 2. What are the focal coordinates and the Quasilinear equation of the parabola y = 2px?
- 3. Two tangent lines PM, Pb & nbsp; (U, B are tangent points) of parabola y = AX2 through point P (32, - 1), if PA · & nbsp; Pb = 0, then a = 0___ .
- 4. M is a point on the parabola y2 = 4x, f is the focal point of the parabola, if ∠ XFM = 60 ° with FX as the starting edge and FM as the ending edge, then | FM|=______ .
- 5. As shown in the figure, it is known that the parabola Y1 = ax & # 178; + BX + C and the parabola y2 = x & # 178; + 6x + 5 are symmetric about the y-axis, and intersect with the y-axis at point m, and intersect with the x-axis at two points a and B If the image of a function y = KX + B passes through a point m and intersects with a parabola Y1 at another point n (m, n), where m ≠ N and satisfies the following conditions: M & # 178; - M + T = 0 and N & # 178; - N + T = 0 (t is a constant) ① Finding the value of K ② Let the line intersect the x-axis at point D, and p be a point in the coordinate plane. If the quadrilateral with vertices o, D, P, and M is a parallelogram, try to find the coordinates of point P (just write the coordinates of point P directly, and do not require the process of solution)
- 6. If the focus of y2 = 2x is f and the straight line passing through f intersects the parabola at two points AB, then the minimum value of | AF | + 4 | ab | Don't use the focal radius
- 7. A straight line passing through the focus of Y (2) = 2px (P > 0) intersects with this parabola. The ordinates of the two intersections are Y1 and Y2 respectively
- 8. From a point P on the parabola y2 = 4x, the vertical foot of the parabola is m, and | PM | = 5. Let the focus of the parabola be f, then the area of △ MPF is______ .
- 9. If the two ends of the line segment AB of length 2 slide on the parabola y2 = x, the minimum distance from the midpoint m of the line segment AB to the Y axis is 0______ .
- 10. Parabola y = - x ^ 2 + (m-2) x + 3 (m-1) passing through point (3,0) Find the vertex coordinates of this parabola?
- 11. The origin of cloth art
- 12. How to prove the curve equation of conic? Do you use definition?
- 13. Conic In the plane rectangular coordinate system, there are two fixed points F1 (0, radical 3) F2 (0, - radical 3). If the moving point m satisfies MF1 + MF2 = 4 Let the line L: y = KX + T intersect the curve with two points a and B, and let the line L1: y = K1X intersect at point D. if K × K1 = - 4, it is proved that D is the midpoint of ab
- 14. The chord length formula of the straight line section ellipse should be proved in detail and deduced step by step~
- 15. In hyperbola C: X & # 178; / A & # 178; - Y & # 178; / B & # 178; = 1, the chord length perpendicular to the real axis through the focus is 2 √ 3 / 3 The distance from the focus to an asymptote is 1, find C
- 16. It is known that the hyperbola (X & # 178; / 4) - (Y & # 178; / 8) = 1, the two ends a and B of the chord passing through the left focus F1 are on the left branch, and | ab | = 6, F2 is the right focus, find the perimeter of △ abf2
- 17. What is the minimum distance between a point on the ellipse and the focus? Where is the point? What is the minimum distance to the point on the focus ellipse? Where is the point? If you know, tell me,
- 18. Chord length problem of elliptic focus Derivation of focus chord formula
- 19. Through a focus F of ellipse x ^ 2 / 9 + y ^ 2 / 4 = 1 (a > b > 0), make a chord perpendicular to the major axis. What is the chord length?
- 20. The vertex coordinates of the parabola y = 2 (x-3) 2 + 1 are () A. (3,1)B. (3,-1)C. (-3,1)D. (-3,-1)