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The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?
A. 5 ft
B. 7 ft
C. 8 ft
D. 9 ft
E. 10 ft
题目翻译:直径为 20 ft 的半圆形交通隧道,行车道在隧道中央,宽 12 ft。要求过往车辆距隧道顶部最近处不能少于 1 ft,下列多高的车应该被禁止通行?
解答:题中已知这个半圆形的直径是20ft,也就是说半径是10ft。已知行车道在路中间并且宽12ft,也就是在圆心两侧各占6ft。根据这两个条件可以构造出直角三角形并利用勾股定理进行计算,得出限高7.2ft。选 CDE
考点:对于几何计算知识与勾股定理的考察。
难点:对于题意的转化。
GRE数学栏目推荐:
11-23
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The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?
A. 5 ft
B. 7 ft
C. 8 ft
D. 9 ft
E. 10 ft
题目翻译:直径为 20 ft 的半圆形交通隧道,行车道在隧道中央,宽 12 ft。要求过往车辆距隧道顶部最近处不能少于 1 ft,下列多高的车应该被禁止通行?
解答:题中已知这个半圆形的直径是20ft,也就是说半径是10ft。已知行车道在路中间并且宽12ft,也就是在圆心两侧各占6ft。根据这两个条件可以构造出直角三角形并利用勾股定理进行计算,得出限高7.2ft。选 CDE
考点:对于几何计算知识与勾股定理的考察。
难点:对于题意的转化。
GRE数学栏目推荐:
11-07
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1.At College C there are from 2 to 4 introductory philosophy classes each semester, and each of these classes has from 20 to 30 students enrolled. If one semester 10 percent of the students enrolled in introductory philosophy failed, what is the GREatest possible number who failed?
A.12
B.10
C.8
D.6
E.3
答案:A
2.In each of the years 1983 and 1984, the total number of automobiles sold in the United States was 1.2 million more than in the previous year.
Percent increase in the number of automobiles sold in 1983 over 1982
Percent increase in the number of automobiles sold in 1984 over 1983
答案:A
3.A school district has 1989 computers, which is approximately one computer for every 68.6 students. Of the following, which is the closest approximation, in thousands, of the number of students in the school district?
A.30
B.120
C.140
D.160
E.200
答案:C
4.If the sum of five consecutive even integers is 70, what is the value of the GREatest of the five integers.
A.12
B.14
C.18
D.20
E.22
答案:C
5.The sum of the first 50 positive integers is 1275. What is the sum of the integers from 51 to 100, inclusive?
A.2525
B.2550
C....
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