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As shown in the figure, in the rectangular coordinate plane, the image of the function y = m / X (x greater than 0, M is a constant) passes through two points As shown in the figure, in the rectangular coordinate plane, the image of the function y = m / X (x is greater than 0, M is a constant) passes through two points a (1,4) B (a, b), where a is greater than 1, passing through point a as the vertical line of X axis, the perpendicular foot is C passing through point B as the vertical line of Y axis, and the perpendicular foot is d. connect ad, DC and CB If the area of △ abd is 4, find the coordinates of point B To prove that DC is parallel to AB, do not use slope and similarity When AB = BC, find the expression of line ab the sooner the better
Let AB intersect x at point e intersect y at point F AC intersect BD at g through D to make the perpendicular h of X
（1）：
∵BD⊥OF AC⊥OE ∴∠BDF=∠ACE=90 ∴∠EOF=∠BOF
∵BD∥OE ∴∠AGB=∠BDF=90 S△ABD=2/1BD×AG
B (a, a / 4) BD = a CG = BH = A / 4 is obtained by substituting a B into y = m / X
A = 3 gives B (3,3 / 4)
(2) Making K equal with the function analytic expression of CD ab
So k = - A / 4, so DC ‖ ab
(3) A = - 4,4,2 is obtained by solving the equation with two-point distance formula
a＞1 a=4 2
Substituting y = - 2x + 6, y = - x + 5
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