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Are a (1,2), B (- 1,0), C (3,4) collinear? This is a big problem, urgent
To prove that three points are collinear method 1: take two points to establish a straight line and calculate the analytical formula of the line, such as the coordinate of the third point to see whether it meets the analytical formula method 2: let three points be a, B, C, use vector to prove: a times ab vector = AC vector (where a is a non-zero real number) method 3: use the point difference method to calculate the slope of AB and AC
Given the points a (- 1, - 4), B (8,1 / 2), and a, B, C are collinear, then the coordinates of point C are
Point C is all the points on the line AB except a and B
Because two points determine a line, a and B determine the line AB and C on the line ab
And a (1, - 3), B (8,1 / 2), so
The linear AB equation is y + 3 = 1 / 2 (x-1)
Therefore, the coordinates of point C satisfy the above formula, and divide points a (1, - 3), B (8,1 / 2)
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