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> 如图,在一个横截面为Rt△ABC的物体中,∠CAB=30°,BC=1米.工人师傅把此物体搬到墙边,先将AB边放在地面(直线l)上,再按顺时针方向绕点B翻转到△A1B1C1的位置(BC1在l上),最后沿
如图,在一个横截面为Rt△ABC的物体中,∠CAB=30°,BC=1米.工人师傅把此物体搬到墙边,先将AB边放在地面(直线l)上,再按顺时针方向绕点B翻转到△A1B1C1的位置(BC1在l上),最后沿
题目简介
如图,在一个横截面为Rt△ABC的物体中,∠CAB=30°,BC=1米.工人师傅把此物体搬到墙边,先将AB边放在地面(直线l)上,再按顺时针方向绕点B翻转到△A1B1C1的位置(BC1在l上),最后沿
题目详情
如图,在一个横截面为Rt△ABC的物体中,∠CAB=30°,BC=1米.工人师傅把此物体搬到墙边,先将AB边放在地面(直线l)上,再按顺时针方向绕点B翻转到△A
1
B
1
C
1
的位置(BC
1
在l上),最后沿BC
1
的方向平移到△A
2
B
2
C
2
的位置,其平移的距离为线段AC的长度(此时A
2
C
2
恰好靠在墙边).
(1)请直接写出AB、AC的长;
(2)画出在搬动此物的整个过程A点所经过的路径,并求出该路径的长度(精确到0.1米).
题型:解答题
难度:中档
来源:天津月考题
答案
解:(1)∵∠CAB=30°,BC=1米
∴AB=2米,AC=
米.
(2)画出A点经过的路径:
∵∠ABA1=180°﹣60°=120°,A1A2=AC=
米
∴A点所经过的路径长=
+
(7分)=
π+
≈5.9(米).
上一篇 :
如图所示,∠A=∠C,CD⊥AB于D,交AE
下一篇 :
如图,已知Rt△ABC中,CD⊥AB,∠A=3
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题目简介
如图,在一个横截面为Rt△ABC的物体中,∠CAB=30°,BC=1米.工人师傅把此物体搬到墙边,先将AB边放在地面(直线l)上,再按顺时针方向绕点B翻转到△A1B1C1的位置(BC1在l上),最后沿
题目详情
(1)请直接写出AB、AC的长;
(2)画出在搬动此物的整个过程A点所经过的路径,并求出该路径的长度(精确到0.1米).
答案
∴AB=2米,AC=
(2)画出A点经过的路径:
∵∠ABA1=180°﹣60°=120°,A1A2=AC=
∴A点所经过的路径长=