If the point P (2, - 1) is known, the equation of the line L which passes through the point P and has the largest distance from the origin is obtained, and the maximum distance is obtained;
When the distance from the origin is the maximum, the distance from the origin to the straight line is exactly the distance between the origin and P, that is, the distance between the line segment OP is the maximum distance! The linear equation is very easy to find, because the slope of the straight line is perpendicular to op, so it's OK to write the equation directly in oblique form!
RELATED INFORMATIONS
- 1. Find the trajectory equation of the point with the same distance between two lines 2x-y-1 = 0 and 4x-2y + 9 = 0
- 2. The trajectory equation of the point with equal distance to the line y = 0 and the line y = √ 3 (x + 1), The answer is (√ 3x-3y + √ 3) (√ 3x + y + √ 3) = 0 I'm dull and love to get to the top of things, so the more detailed the better,
- 3. Make two mutually perpendicular straight lines L1 and L2 through point P (2,4). If L1 intersects X-axis at point a and L2 intersects Y-axis at point B, find the trajectory equation of the midpoint m of line ab
- 4. It is known that the line l1:4x-3y + 6 equals zero, the line L2: x equals minus 1, and the square of the parabola y equals the moving point P on 4x to the straight line It is known that the line L1: 4x minus 3Y plus 6 equals zero, the line L2: x equals minus 1, and the square of the parabola y equals the sum of the distances from the moving point P on 4x to the line L1 and the line L2? A. 1 B.3 c.d.16 molecule 37
- 5. It is known that the minimum value of the sum of the distances from the moving point P on the parabola y2 = 4x to the lines L1 and L2 is () A. 2B. 3C. 115D. 3716
- 6. The linear equation of the line 3x + 5y-1 = 0 is symmetric with respect to the line 4x + 3y-5 = 0
- 7. A = 3 is a line ax + 2Y + 3A = 0 and a line 3x + (A-1) y = A-7 which are parallel and not coincident () A. Sufficient and nonessential condition B. necessary and nonessential condition C. sufficient and necessary condition D. neither sufficient nor necessary condition
- 8. (2012. Pudong New Area three mode) "a=3" is "straight line ax+2y+3a=0 and straight line 3x+ (A-1) y=a-7 parallel". A. Sufficient and unnecessary condition B. necessary and insufficient condition C. sufficient and necessary condition D. neither sufficient nor necessary condition
- 9. The distance between the line 4x-3y + 4 = 0 and the line 8x-6y + a = 0 is 2 Is self-learning high school curriculum for detailed explanation!
- 10. {7x + 6y = - 19,6y-5x = 17 to solve the equations
- 11. Given point P (2, - 1), what is the maximum distance between point P and the origin Why is the maximum distance OP?
- 12. On the number axis, the point of - 5 is at the beginning of the origin___ Side, the distance from the origin is___ . the distance from the origin is 4 units of length__ Yes, they are___ On the number axis, a point five units in length away from the point representing - 2 is the same as the number represented____ ? Simplification: 1 - 2=____ ? -The absolute value of 4.7 is____ The number whose absolute value is 3 and 1 / 5 is___ ? The number with the smallest absolute value is__ The number whose absolute value equals itself is____ ? Given x = 8, y = - 2, find the value of x-4, y Comparison size: 1 + 5___ - 6; 1 - 100___ -(-101). All integers greater than - 3 and less than 2 are___ ? Fill in the appropriate integer in the following box to make the formula true: - 3 < mouth < - 1.5 < mouth < 0 < mouth < 2 Given a = 4, B = 3 and a < B, try to find the value of a and B
- 13. On the number axis, the distance to the origin is the root sign, and the number of 6 is
- 14. On the number axis, which side of the origin is the point representing the number 6, and the distance to the origin is several unit lengths; the distance from the point representing the number 6 to the point representing the number-8 is Several units of length
- 15. It is known that the eccentricity e of ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is 1 / 2, and the distance from origin o to straight line X / A + Y / b = 1 is d = (2 √ 21) / 7 The equation of ellipse is x ^ 2 / 4 + y ^ 2 / 3 = 1 Solution: make a straight line through point m (√ 3,0) and intersect ellipse C at two points P and Q, and find the maximum area of △ OPQ
- 16. It is known that the eccentricity of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) e = √ 6 / 3, and the distance between the line passing through points a (0, b) and B (a, 0) and the origin is √ 3 / 2 Given the fixed point E (- 1,0), if the line y = KX + 2 (K ≠ 0) intersects the ellipse at two points c and D, ask: is there a value of K to make the circle with diameter CD pass through point e? Please explain the reason
- 17. It is known that the eccentricity e of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 (a > b > 0) is √ 6 / 3, and the distance between the straight line passing through points a (0, - b) and B (a, 0) and the origin is √ 3 / 2 (1) The equation of finding ellipse (2) Given the fixed point E (- 1), if the line y = KX + 2 (K ≠ 0) intersects the ellipse at two points c and D, ask: is there a value of K to make the circle with diameter CD pass through point e? Please explain the reason If it's right, answer the second question. If it's not right, write it all, E (- 1,0), sorry, I haven't finished
- 18. It is known that the eccentricity of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is √ 3 / 2, and the distance from the straight line passing through two points a (a, 0) B (0, - b) to the origin is four fifths of the root sign 5. The standard equation of the ellipse is solved
- 19. There is a point P on the number axis and its coordinate is X. if the distance between the known point P and the origin is less than 8, then x is X
- 20. What is the distance from the point P (- 3, - 4) to the X axis, to the Y axis, and to the origin