It is known that the quadratic equation AX2 + BX + C = 0 with respect to X. when the coefficients a, B and C satisfy a-2b + 4C = 0, there is a root which can be determined. The root is: - (excluding a, B and C)

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• 1. When | x | is less than or equal to 1, find the minimum value of square x-2ax + a of quadratic function y = X When | x | is less than or equal to 1, find the minimum value of square x-2ax + a of quadratic function y = X
• 2. How to calculate the area of irregular figure?
• 3. P is a point on the ellipse x ^ 2 / 25 + y ^ 2 / 16 = 1, F1 and F2 are the focus. If ∠ f1pf2 = 30 °, then the area of △ f1pf2 is Why let Pf1 = m, PF2 = 10-m, and then use Pythagorean theorem to calculate that there is no solution Wrong number for ∠ f1pf2 = 90 °
• 4. Given the line L: y = 3x + 3, find: (1) the equation of the line x-y-2 with respect to the line L symmetric, (2) the equation of the line L with respect to the line m (3,2) symmetric
• 5. Who knows the area formula of a circle, the arc length formula of a circle, and the sector area formula
• 6. The original price of a commodity is 200 yuan. After the price is reduced by 5%, the price is increased by 5%, and the current price is increased by 5%___ Yuan
• 7. The current price of a coat is 200 yuan, which is 50 yuan lower than the original price. How much lower?
• 8. A kind of TV set, the original price is 2200 yuan, the current price is 200 yuan, how much is the price reduction
• 9. For a commodity, the original price is 1000 yuan, but now the price is reduced by 200 yuan. How much has the price been reduced
• 10. 2. The original price of a commodity is 52 yuan, and the current price is 39 yuan. How much is the price reduction? 3. The electricity consumption of the school this month is 900 degrees, which is 10% less than that of last month 4. When a typist types a manuscript, the ratio of the number of pages typed on the first day to the total number is 1:10. If he type six more pages, he can finish 15% of the manuscript. How many pages does the manuscript have For the formula, just answer the fourth question
• 11. The right focus of hyperbola C x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 = 1 (a greater than 0, b greater than 0) is f passing F, and the intersection C of straight line with slope root 3 is at two points a and B If the vector AF = 4, find the eccentricity of C with the vector FB
• 12. A-B + C = 2 (1) a + B + C = 1 (2) 4A + 2B + C = 3 (3) how to solve the ternary linear equations?
• 13. Given that real numbers x, y, Z satisfy X-Y = 8, XY + Z2 = - 16, then x + y + Z=______ ．
• 14. The analytic region of the following function f (x) is pointed out and its derivative is obtained （1）Z^3+2iZ ;
• 15. It is known that the image of quadratic function y = x2 + BX + C passes through two points a (0,1), B (2, - 1). (1) find the value of B and C; (2) try to judge whether the point P (- 1,2) is on the parabola
• 16. If vector a and B satisfy | vector a | = | vector B | = 1, and vector A &; vector B + vector B &; vector b = 3 / 2, Then the angle between vector a and vector B is ()
• 17. Space is very difficult, but some people say that the space vector method can solve all geometric problems, so ask the space vector method to prove that a straight line is parallel to a plane? Yes, please say. Attach a topic, please use the space vector method to prove Q: as shown in the figure, in the cube abcd-a1b1c1d1, E is the midpoint of dd1, verification: BD1 / / plane AEC
• 18. Let a = {x | X & # 178; + (M + 2x) + 1 = 0, X ∈ r}, B = {x | x ＞ 0}, if a ∩ B = & # 8709;. Find the value range of real number M Let a = {x | X & # 178; + (M + 2) x + 1 = 0, X ∈ r}, B = {x | x ＞ 0}, if a ∩ B = & # 8709;. Finding the value range of real number m
• 19. How to deduce LNA equal to B times of E from B power of a?
• 20. |What is the relationship between the scalar product | of vector a and vector B and | a | B | Why?