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> 如图,点C为线段AB上一点,AC:CB=3:2,D、E两点分别为AC、AB的中点,若线段DE=2cm,则AB的长为()A.8cmB.12cmC.14cmD.10cm-数学
如图,点C为线段AB上一点,AC:CB=3:2,D、E两点分别为AC、AB的中点,若线段DE=2cm,则AB的长为()A.8cmB.12cmC.14cmD.10cm-数学
题目简介
如图,点C为线段AB上一点,AC:CB=3:2,D、E两点分别为AC、AB的中点,若线段DE=2cm,则AB的长为()A.8cmB.12cmC.14cmD.10cm-数学
题目详情
如图,点C为线段AB上一点,AC:CB=3:2,D、E两点分别为AC、AB的中点,若线段DE=2cm,则AB的长为( )
A.8cm
B.12cm
C.14cm
D.10cm
题型:单选题
难度:中档
来源:不详
答案
设AB=x,由已知得:
AC=
class="stub"3
5
x,BC=
class="stub"2
5
x,
D、E两点分别为AC、AB的中点,
∴DC=
class="stub"3
10
x,BE=
class="stub"1
2
x,
DE=DC-EC=DC-(BE-BC),
∴
class="stub"3
10
x-(
class="stub"1
2
x-
class="stub"2
5
x)=2,
解得:x=10,
则AB的长为10cm,
故选:D.
上一篇 :
数轴上的点A,B分别表示数-2和1,
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Only when we failed ________
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题目简介
如图,点C为线段AB上一点,AC:CB=3:2,D、E两点分别为AC、AB的中点,若线段DE=2cm,则AB的长为()A.8cmB.12cmC.14cmD.10cm-数学
题目详情
答案
AC=
D、E两点分别为AC、AB的中点,
∴DC=
DE=DC-EC=DC-(BE-BC),
∴
解得:x=10,
则AB的长为10cm,
故选:D.