Determine the expression of the line according to the following conditions A straight line passes through points m (1, - 3), and the abscissa of its intersection with X axis is 6

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• 1. Given line L and line y = 2x + 1, the expression of line L is determined according to the following conditions (2) Line L passes through point a (- 1, - 5) It is known that the line L is parallel to the line y = 2x + 1
• 2. Finding the expression of the original function Given that G (cosx) = TaNx, find GX. My method is to deform TaNx, and then get GX = radical 1-x ^ (2) / radical x, but the teacher was wrong,
• 3. Finding function expression Given that the function f (x) f '(x) = KF (x) + b k < 0, f (0) = 0, f' (0) = 3 is the tangent slope of (0, 0), and the asymptote of F (x) is y = 2, can we find f (x)
• 4. Second grade mathematics to determine the function expression There are two points a (0,3) and B (4,1) on the image of the function. Find the expression of this linear function.
• 5. How to find B in the expression of definite function
• 6. The analytic expressions of the function y = KX + B are determined according to the following conditions (1) When x = 5, y = 6 (2) Line y = KX + B passes through points (3,6) and points (1 / 2, 1 / 2) ————————————————————————————
• 7. Function The images of the linear function y = 2 / 3x + m and y = - 2 / x + n pass through a (- 2,0) and intersect with y axis at B and C. the height of the edge AC of triangle ABC is obtained
• 8. The following information about a certain function is provided: For a function, the following information is provided: (1) Its image is a straight line (2) The line passes through three points (0,0), (1, - a), (a, - 4) (3) The value of function y decreases with the increase of independent variable x Find the expression of the function
• 9. Please write a function analytic expression that meets the following two conditions___ ① In the second quadrant, y increases with the increase of X
• 10. There are 3500 bicycles and mopeds parked in a large bicycle parking spot on a Sunday. The storage fee for mopeds is 2 yuan for each bicycle and 1.2 yuan for each bicycle (1) If the number of bicycle parking is x, and the total income of storage fee is y yuan, try to write the function of y about X; (2) If it is estimated that the number of mopeds is not less than 25% but not more than 40% of the 3500 vehicles coming to park, try to find out the range of the total amount of daily income storage fees of the parking station Need specific process
• 11. If an image has such characteristics, its function expression can be obtained Draw the maximum and minimum points of sine curve y = SiN x, and connect the two adjacent maximum and minimum points with line segments to form a sawtooth shaped image. What is its function expression?
• 12. According to the following conditions, the expressions of the corresponding quadratic functions are obtained respectively 1. The image of known quadratic function passes through a (0, - 1) B (1,0) C (- 1,2) 2. It is known that the vertex of parabola is (1, - 3) and intersects with y axis at (0,1) 3. It is known that the parabola intersects the x-axis at (- 3,0) (5,0) and the y-axis at (0, - 3) 4. It is known that the vertex of the parabola is (3, - 2) and the distance between the two intersections of the parabola and the X axis is 4
• 13. Finding function expression Let f (x) = AX2 + BX + C pass through points (0,1) and (1,4), and the inequality f (x) ≥ 4x holds for any real number X ① Find the expression of function f (x); ② Let g (x) = KX + 1, if f (x) = log2 (g (x) - f (x)) is an increasing function in the interval [1,2], find the value range of real number K
• 14. The expression of higher one function If f (x) = 8x + 1, G (x) = x square, then f [g (x)] =?, G [f (x)] =?
• 15. It is known that the function f (x) = - 2 ^ x + B / [2 ^ (x + 1) + a] with the domain R is an odd function (1) Finding the value of a and B (2) If for any t ∈ R, the inequality f (T ^ 2-2t) + F (2t ^ 2-k)
• 16. It is generally accepted that if the Engel's coefficient is not greater than 0.3, it can be regarded as entering the well-off level. The monthly per capita income of the region from 2004 to 2008 is 706 yuan, 782 yuan, 878 yuan, 986 yuan and 1116 yuan in turn. According to this increasing trend, this paper tries to use these data and y = AE ^ BX (a > 0) as the function model to predict which year the region will enter the well-off level In economics, the ratio of family expenditure on diet to total income is called Engel's coefficient, which is one of the data to measure the comprehensive strength of a country or region. The per capita monthly income of a certain region in China is x (100 yuan). According to the statistical data, the Engel's coefficient f (x) = (0.1X + a) / (X-B) (x > 4.2), where a and B are constants, and B ∈ Z. Let f (5) = 0.8,0.55
• 17. 1 1 Is the function y = x (-- + -) odd or even? X of 2 + 1 2
• 18. On the vector problem! D. E and F are the moving points of the edges AB, BC and Ca of △ ABC, respectively Starting from a, B and C, they move along each side to B, C and a at a certain speed, When t = 1, it reaches B, C and a respectively, Proof: at any time of 0 ≤ t ≤ 1, the center of gravity of △ def remains unchanged The center of gravity is the intersection point of the center, which is proved by vector
• 19. The function f (x) = - x2 + 2aX + 1-A has the maximum value 2 in the interval [0,1]. Find the value of real number a
• 20. In the plane rectangular coordinate system, points a (1,1), B (4,2), C (2,3). 1 seek the coordinates of vector AB (with arrow) + AC (with arrow), 2 seek the angle α of vector AB (with arrow) and AC (with arrow)