As shown in the figure, it is known that in isosceles △ ABC, ab = AC, P and Q are points on edge AC and ab respectively, and AP = PQ = QB = BC=______ ．

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• 1. If there is a common point between the line L passing through point a (4,0) and the curve (X-2) 2 + y2 = 1, the range of the slope of the line L is () A. [−3，3]B. (−3，3)C. [−33，33]D. (−33，33)
• 2. If the circle x2 + y2 = 4, a (- 1,0) and B (1,0) move the parabola through two points a and B, and the tangent of the circle is taken as the guide line, then the focus trajectory equation of the parabola is () A. x25+y23＝1(y≠0)B. x24+y23＝1(y≠0)C. x25+y24＝1(y≠0)D. x23+y24＝1(y≠0)
• 3. When t belongs to R, the graph represented by parameter equation x = (- 8t) / (4 + T ^ 2), y = (4-T ^ 2) / (4 + T ^ 2) is____
• 4. In the plane rectangular coordinate system, the coordinates of the end point of the line AB are a (- 2,4), B (4,2), and the line y = kx-2 always has an intersection with the line. The value range of K is calculated After taking the endpoint coordinates in, we can calculate k = 1 and K = - 3. Why should it be greater than or equal to 1 and less than or equal to - 3
• 5. 1. Draw a secant from a point outside the circle P (1,1) to the circle x2 + y2 = 1, intersect the circle at two points a and B, and find the trajectory equation of the midpoint of the chord ab
• 6. Given that point P is a point outside the circle C: x ^ 2 + y ^ 2 = 1, let K1 and K2 be the slopes of two tangent lines of circle C passing through point P K1 * K2 = - λ (λ does not = - 1,0), find the equation of the locus m of point P, and point out the type of conic where the curve m lies
• 7. Is 2000 a leap year? Because leap year is divisible by 4, but not by 100, or divisible by 4, and divisible by 400 Push like this, 2000 is and is not? Who can explain why? How do you explain my definition?
• 8. What month is the average maximum temperature in the southern hemisphere
• 9. There is a problem: evaluate 1 / 3 (- 3x ^ 2 = 6x-12) - 1 / 2 (4x-2x ^ 2), where x = 2010, But his calculation is also correct. What do you think is the matter?
• 10. 2005*3/8—0.375*1949+3.75*10.4
• 11. Let a + B + C = 1 vector OP = a vector OA + B vector ob + C vector OC, how can we prove that p a B C four points are coplanar?
• 12. The area of the figure enclosed by the curve expressed by the equation | x | + | y | = 1 is () A. 2B. 2C. 1D. 4
• 13. The area of the figure enclosed by the curve y = x & # 178; - 1 and X axis is equal to
• 14. Find the area a of the figure enclosed by the curve y = e ^ x, y = 2 and x = 0, and the volume of one revolution around the Y axis Using the knowledge of definite integral,
• 15. The volume of the geometry obtained by rotating the curve y = X2 (0 ≤ y ≤ 1) around the Y axis
• 16. Given that the vertex of the parabola is (- 1,4), and the length of the line segment cut on the x-axis is 6, the analytical formula of the parabola is obtained
• 17. As shown in the figure, it is a part of the image of an inverse scale function, and points a (1,10) and B (10,1) are its endpoints. (1) find the analytic expression of the function, and write out the value range of the independent variable x; (2) please give an example of life that can be described by the functional relationship of this problem
• 18. As shown in the figure, it is known that the two vertices of RT △ OAB are a [6,0], B [0,8], O is the origin, and △ OAB rotates 90 ° clockwise around point A. point O arrives at point o ', and point B arrives at point B' (1) Finding the coordinates of point B 丿 (2) Finding the analytic expression of the function corresponding to the line ab 丿
• 19. It is known that the ordinate of an intersection of the inverse scale function y = KX and the linear function y = 2x + k is - 4, then the value of K is -___ ．
• 20. If there is an intersection point between the image of inverse scale function y = 2 / X and the image of primary function y = kx-4, the value range of K is obtained Hope as soon as possible