For any real number k, if the line (3K + 2) x-ky-2 = 0 passes a certain point, then the fixed point
For the straight line (3K + 2) x-ky-2 = 0,
So (3x-y) K + 2 (x-1) = 0,
When X-1 = 0, 3x-y = 0, that is, x = 1, y = 3, for any real number k,
The equation is always true. A straight line must pass through points (1,3)
RELATED INFORMATIONS
- 1. The line L: kx-y-4k + 3 = 0 K belongs to the positional relationship between R and x ^ 2 + y ^ 2-6x-8y + 12 = 0
- 2. Given the circle C: x ^ 2 + y ^ 2-8y + 12 = 0, the line L; KX + y + 2K = 0, when the value of K is, the line L is tangent to C
- 3. What is the position relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? What is the positional relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? Apart, intersect, circumscribe, or inscribe? How to judge their position? Now I can get the center coordinates and radius of two circles by using the conditions in the question. But what should I do next?
- 4. If the equation of a circle is x 2+y…… 2+kx+2y+k…… 2 = Oh, then when the area of the circle is the largest, the coordinates of the center of the circle are
- 5. Given the circle x2 + Y2 + KX + 2Y + K2 = 0, when the area of the circle is the maximum, the center coordinate is () A. (0,-1)B. (1,-1)C. (-1,0)D. (-1,1)
- 6. If the equation of a circle is x ^ 2 + y ^ 2 + KX + 2Y + K ^ 2 = 0, what is the value of K, the area of the circle is the largest? And the coordinates of the center of the circle at this time can be obtained
- 7. Given the equation x ^ 2 + y ^ 2 + KX + 2Y + k = 0 of a circle, if there are two tangents of the circle made by passing through the fixed point P (1, - 1), then the condition that K should satisfy is
- 8. Find the equation of equiaxed hyperbola passing through point a (3, - 1) and the axis of symmetry is coordinate axis______ .
- 9. It is known that the symmetry axes of the points (3, - 1) where the equiaxed hyperbola passes through are all on the coordinate axis, then the standard equation of the hyperbola is
- 10. The hyperbolic standard equation of a = 4 and B = 3 with coordinate axis as symmetry axis is?
- 11. For any real number k, what is the position relationship between the line (3K + 2) x-ky-2 = 0 and the circle x ^ 2 + y ^ 2-2x-2y-2 = 0? The relationship between the center of a circle and a straight line is discussed without over fixed point method
- 12. K stands for real number. The curve represented by equation kx2 + 2y2-8 = 0 is discussed
- 13. If the lines X + 2y-1 = 0 and y = KX are parallel to each other, then the value of the real number k is______ .
- 14. Let the real numbers x and y satisfy the following conditions: ① x-y-2 ≤ 0, ② x + 2y-4 ≥ 0, ③ 2y-3 ≤ 0, then the maximum value of Y / X is Note: I hope you can give me a picture!
- 15. The maximum range of objective function z = 3x + 2Y is [7,9], then the range of positive real number k is
- 16. Given that hyperbola y = 3x and straight line y = KX + 2 intersect point a (x1, Y1) and point B (X2, Y2), and X12 + X22 = 10, find the value of K
- 17. If the line y = KX + 4 intersects the circle x ^ 2 + y ^ 2 = 1 or the curve y ^ 2 = x, then the value range of K is?
- 18. If f (x) = x ^ 3-3x ^ 2-3mx + 4 has a maximum value of 5, find the value of the real number m and the tangent equation of the curve y = f (x) passing through the origin
- 19. If the line y = 2x + 1 is a tangent of the curve y = x ^ 3-x-a, find the value of the real number a
- 20. Find a tangent of the curve y = X3 + 3x2-5, so that the tangent is perpendicular to the straight line 2x-6y + 1 = 0 - (X3 is the third power of X, 3x2 is three times the square of x)