Find the straight line equation which passes through point P (1,2) and makes the distance from a (2,3), B (0, - 5) equal
(1) When a (2,3), B (0, - 5) are on the same side of the line, we get that the line AB is parallel to the line, K AB = 4, so the slope of the line is 4, Y-2 = 4 (x-1), which is reduced to 4x-y-2 = 0, so the line satisfying the condition is 4x-y-2 = 0, or x = 1
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- 1. Find the straight line equation which passes through point P (1,2) and makes the distance from a (2,3), B (0, - 5) equal
- 2. If the line L passes through point P (1,2) and the distances between M (2,3), n (4, - 5) are equal, then what is the equation of line l A. 4X + y-6 = 0 b.x + 4y-6 = 0 c.3x + 2y-7 = 0 or 4x + y-6 = 0 d.2x + 3y-7 = 0 or x + 4y-6 = 0
- 3. A straight line is drawn through the point P (3,2) so that the distance between a (2,3), B (4, - 5) and it is equal. Then the equation of this straight line is_______ .
- 4. Write out the parameter equation of a straight line passing through the point, m (1,5), with an inclination angle of 60 ° and find the distance from the intersection of this straight line and the line x-y-2 with sign 3 = 0 to M
- 5. What are the characteristics of the definition field of the function with parity? What are the characteristics of its domain?
- 6. The characteristics of the definition domain of odd and even functions
- 7. It is known that the function f (x) on R satisfies f (x) = f (4-x), and the function f (x + 2) monotonically decreases in [0, + ∞). (1) find the solution set of the inequality f (3x) > F (2x-1); (2) let the solution set in (1) be a, and for any t ∈ a, the inequality x2 + (T-2) x + 1-T > 0 holds, and find the value range of real number X
- 8. For real numbers x and y, define an operation "△": X △ y = ax + by, where a and B are constants, and the operation on the right side of the equation is the usual operation of addition and subtraction Given that 3 △ 5 = 25 and 4 △ 7 = 38, then 1 △ 5=
- 9. For rational numbers x and y, define an operation "*": X * y = ax + by, where a and B are constants, and the right side of the equation is the usual addition and multiplication operation. Given 1 * 2 = 8, (- 2) * 3 = 5, find the value of 3 * 5
- 10. For rational numbers x and y, a new operation x * y = ax + by + C is defined, where a, B and C are constants. On the right side of the equation are the usual addition and multiplication operations. Given that 1 * 2 = 9, (- 3) * 3 = 6, 0 * 1 = 2, find the value of (- 2) * 5
- 11. If the line L passes through the points a (- 1,2) and B (- 1,5), calculate the inclination angle of the line L
- 12. What is the value of B if the line L passes two points (- 1, - 1) (2,5) and the point (1006, b) is on l
- 13. If la-bl and lb-2l are opposite to each other, the value of a + B is obtained Given that a and B are opposite to each other, C and D are reciprocal to each other, and the absolute value of M is 1, what is the value of a + B / IMI + CD + 2imi?
- 14. Given that (A-3) and lb-1l are opposite numbers, what is the square of a plus the square of B?
- 15. It is known that lab-2l and lb-1l are opposite to each other. Try to find the formula It is known that la-2l and lb-1l are opposite to each other. Try to find the value AB (a + 1) (B + 1) (a + 2) (B + 2) (a + 2009) (B + 2009) of Formula 1 - + --- + --- +... + ---
- 16. Given the position of rational number ABC on the number axis as shown in the figure, simplify LC DL + LC al LB al
- 17. The positions of rational numbers a, B and C on the number axis are given as shown in the figure. Reduction: Ia + bi-i1-ci-lb-1i-ia-cl As shown in the figure: --- B --- a --- 1 --- 0 --- C --- 1 Let me know by 20:30
- 18. The positions of rational numbers a, B and C on the number axis are shown in the figure= -------c--------a------0---------b--------
- 19. Given the position of a, B and C on the number axis, as shown in the figure, simplify | a | a + | B | B + | C | C
- 20. The positions of rational numbers a, B and C on the number axis are shown in the figure, simplifying La + bl-la-b-cl-lb-al + LB + CL -——c------b----------------0------a------->