工商管理硕士入学考试-几何.doc
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工商管理硕士入学考试-几何
(总分：315.00，做题时间：90分钟)
一、单项选择题(总题数：63，分数：315.00)
1.If the number of square units in the area of a circle is A and the number of 1inear units in the circumference is C, what is the radius of the circle?
5.00）
A.
B.
C.
D.
E.
In the figure above, a circle is inscribed in a square with side b and a square with side a is inscribed in the circle. What is the area of the square with side b?
(1)a=4
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A.
B.
C.
D.
E.
3.A rectangle with dimensions 75 inches by 100 inches is divided into 20 smaller rectangles. If each new rectangle has equal dimensions, how many inches of lines are needed to divide the original rectangle?
(1)One of the dimensions of each of the rectangles is 15 inches.
(2)One of the dimensions of each of the rectangles is 25 inches.
（分数：5.00）
A.条件(1)充分，但条件(2)不充分．
B.条件(2)充分，但条件(1)不充分．
C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分．
D.条件(1)充分，条件(2)也充分．
E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．
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A.
B.
C.
D.
E.
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A.
B.
C.
D.
E.
If each side of △ACD above has length 3 and if AB has length 1, what is the area of region BCDF?
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A.
B.
C.
D.
E.
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A.
B.
C.
D.
E.
8.If k and ω are the dimensions of a rectangle that has area 42, and if k and ω are integers such that k＞ω, what is the total number of possible values of k?
（分数：5.00）
A.Two
B.Three
C.Four
D.Five
E.(E) Six
If the area of the circle above is 64π, what is the value of k?
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A.
B.
C.
D.
E.
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A.
B.
C.
D.
E.
11.What is the volume of a certain rectangular solid?
(1)Two adjacent faces of the solid have areas 15 and 24, respectively.
(2)Each of two opposite faces of the solid has area 40.
（分数：5.00）
A.条件(1)充分，但条件(2)不充分．
B.条件(2)充分，但条件(1)不充分．
C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分．
D.条件(1)充分，条件(2)也充分．
E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．
12.In the rectangular coordinate system, are the points (r, s) and (u, ν) equidistant from the origin?
(1)r+s=1
(2)u=1-r and ν=1-s
（分数：5.00）
A.条件(1)充分，但条件(2)不充分．
B.条件(2)充分，但条件(1)不充分．
C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分．
D.条件(1)充分，条件(2)也充分．
E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分．
13.A warehouse had a square floor with area 10,000 square meters. A rectangular addition was built along one entire side of the warehouse that increased the floor area by on-half as much as the original floor are-a. How many meters did the addition extend beyond the original building?
（分数：5.00）
A.10
B.20
C.50
D.200
E.(E) 500
14.A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
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A.
B.
C.
D.
E.
15.A certain company has records stored with a record-storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.25 per box per month for record storage, what is the total amount that the company pays each month for record storage?
（分数：5.00）
A.$150
B.$300
C.$600
D.$1，200