A family of lines have equations of the form y = − b x + c , where b and c are positive numbers.
Let O denote the origin, and let A and B be the x -axis and y -axis intercepts of the line y = − b x + c.
i. If the midpoint M of the line segment AB is (3,6), find the values of b and c.
ii. If the triangle AOB has area 4, find c in terms of b.
iii. If the midpoint M of AB is such that OM=5 , find c in terms of b. Then use your calculator to find the value of c when b=5,10,100. Comment.
评论
1: b=2,c=12
2.c=(8b)^0.5
3.c=10b(1/1+b^2)^0.5
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已加分。请问能分享一下解题过程吗?
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你私信我,我让学生在度盘上把解题的视频链接给你
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已加分并发了消息。
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画图
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A(c/b,0), B(0,c)
M(c/(2b),c/2)
剩下的让娃自己画图去做吧
评论
谢谢分享。已解出。
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