(1) Find the value of m;
(2) As shown in Figure 9, the image passing through point A is that the straight line AC intersects with the function y = at point B, and intersects with the X axis at point C, and AB = 2bc, so as to find the coordinates of point C. 。
Analytic (1) Substituting the coordinates of point A into the inverse proportional resolution function, we can get a linear equation about m and find the value of m; (2) If point A and point B are perpendicular to the X-axis, and the vertical feet are point D and point E respectively, then △CBE∽△CAD, and the abscissa of point C can be obtained by finding the length of CE with similar triangles knowledge.
Solution to the answer: (1)∵ The image passes through point A (- 1, 6), ∴ M-8- 1 = 6.
(2) The points A and B are perpendicular to the X axis, and the vertical feet are points D and E respectively.
From the meaning of the title, AD = 6, OD = 1, Yizhi, AD‖BE,
∴△CBE∽△CAD,∴。
∵AB=2BC,∴
∴ ,∴BE=2.
That is, the ordinate of point B is 2.
When y = 2 and x =-3, it is easy to know that the straight line AB is y = 2x+8.
∴C(-4,0)
Inverse proportional function involving knowledge points
Comments Due to the decreasing difficulty of the test questions in the senior high school entrance examination this year, the knowledge points in the senior high school entrance examination tend to shift to lower grades, and the frequency of inverse proportional function in solving problems is getting higher and higher.
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