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英语翻译Let A ,B and C be three points in a plane,such that AB/B

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英语翻译
Let A ,B and C be three points in a plane,such that AB/BC is equal to 3/5.Which of the following could be the ratio of AB/AC?
choice 1=1/2 choice 2=1:3 choice 3=3:8
A=choice 1
B=choice 2
C=choice 3
D=choice 1 and 3
E=choice 1,2 and 3
英语翻译Let A ,B and C be three points in a plane,such that AB/B
【翻译】
设A,B,C是一个平面上的三个点,使AB:BC=3:5.下列的哪个选项可能是AB/AC的比例?①=1:2 ②=1:3 ③=3:8
A.① B.② C.③ D.①③ E.①②③
【解题】
『分析:
单选题的多项选择蛤~
三角形三边的关系 a+b>c.
因为A、B、C三个点可以在同一直线上,
这道题的AB、BC和AC的关系一定是a+b≥c.』
if ① is right,AB:BC:AC=3:5:6 ,three straights make a triangle,so it is possible.
if ② is right,AB:BC:AC=3:5:9 ,three straights don't make a triangle or a straight,so it is impossible.
if ③ is right,AB:BC:AC=3:5:8 ,three straights make a straight,so it is possible.
So the right is ① and ③.
∴ The right answer is D.