If the angle between the tangent line at point a and the straight line 3x-y + 1 = 0 on the parabola y = x ^ 2 is 45 degrees, what is the coordinate of point a? What are the specific steps of this topic, how to solve the problem of the angle between tangent and straight line, and what kind of thinking should be used?

1. Draw a schematic diagram 2. The slope of the straight line 3x-y + 1 = 0 is 3, and the angle between the tangent and the straight line 3x-y + 1 = 0 is 45 degrees. Then the slope of the tangent can be calculated (there may be more than one). 3. Suppose that the equation of the slope of the straight line is y = KX + B (above K has been solved). 4

RELATED INFORMATIONS

1. Given the parabola y = x & # 178, the angle between the tangent line at the upper point P and the straight line y = 3x + 1 is 45 ° and the coordinates of point P are obtained
2. Given the parabola y = x & # 178; + 4 and the straight line y = x + 10, find: (1) the intersection of them; (2) the tangent equation of the parabola at the intersection. Solve it by derivative
3. The slope of the tangent at any point P (U, V) of the parabola y = x ^ 2 - 3x + 2 is calculated, and the equation of the tangent at the vertex of the parabola is obtained The answer I got is y = - 1 / 4
4. The known parabola y = x ^ 3, the slope of tangent at point x = 2 is?
5. How to find the tangent slope of parabola x ^ 2 = 8 (y-b) at point (4, B + 2) RT
6. The tangent equation of parabola y ^ 2 = x with slope 2 is
7. Let p be any point on the parabola y = X3 - root 3x + 2 / 3, and the tangent slope at P is α, then the value range of angle α is obtained
8. The tangent of a point P on the parabola y = x2-3x has an inclination angle of 45 degrees. It intersects with two coordinate axes at two points a and B. the AOB surface of the triangle can be obtained
9. Parabola y = 3x & # 178; - X-2 the tangent equation of the intersection of parabola and x-axis is solved by means of Weida theorem
10. Given the parabola y = x2 + 3x-5, find the tangent equation of the parabola at x = 3 Do with derivative
11. Given that the angle between the tangent line at point P on parabola y = x ^ 2 and the straight line y = 3x + 1 is (PAI / 4), try to find the coordinates of point P Let P exit slope k | K-3 | / | 1 + 3K |
12. If the tangent of point P passing through the parabola y = x ^ 2 is parallel to the straight line 4x-y-5 = 0, then the coordinate of point P is the tangent equation passing through point P?
13. If the distance from a point m on the parabola y = 4x2 to the focus is 1, then the ordinate of point m is () A. 1716B. 1516C. 78D. 0
14. If the point P on the parabola y = x & # 178 is tangent L and the tangent L is perpendicular to the straight line 2x-y-5 = 0, then the equation of tangent L is,
15. Why is the tangent equation parallel to the parabola y = x & # 178; with the straight line 2x-y + 4 assumed to be X & # 178; - 2x-c = 0
16. The tangent of parabola y = x2 at point P is perpendicular to the straight line 2x-6y + 5 = 0. The coordinate and tangent equation of point P are obtained Let's talk more about how the slope comes from
17. It is known that the parabola y = x ^ 2-2x-8 (2) If the two intersections of the parabola and the x-axis are ab respectively, and its vertex is p, the area of the triangle ABP is calculated
18. What is the intersection coordinate of parabola y = - 2x ^ 2-x + 3 and Y axis? What is the intersection coordinate of parabola y = - 2x ^ 2-x + 3 and X axis?
19. If there is an intersection (2,4) between the straight line y = 2x and the hyperbola y = 8 / x, then their other intersection is?
20. The coordinates of the intersection of the line y = 2x and the hyperbola y = 6 / X are