下面，小编为大家带来的是GRE数学几何视频讲解内容，主要从几何常见术语英语表达和几何习题两个方面展开的，一起来看看吧。前面讲过了几何常见术语英语表达，这里主要是练习题。
4.
A The area of triangular region OPQ
B The area of triangular region ORS
A Quantity A is greater
B Quantity A is greater
C The two quantities are equal
D The relationship cannot be determined from the information given.
根据图形可知，OPQ部分的面积是2X2X1/2=2，ORS的面积是4X1X1/2=2，所以答案是C。
5.
If the area of the shaded region of the square above is 20, what is the perimeter of the square?
A. 4√5
B. 8√5
C. 16√5
D. 80
E. 400
根据已知信息可知，阴影部分的面积是20，那么正方形的面积是80，可以得出正方形的边长是4√5，所以正方形的周长是16√5。
6.
A y
B 4x
A Quantity A is greater
B Quantity A is greater
C The two quantities are equal
D The relationship cannot be determined from the information given.
根据图形可知，2x+x=90，x=30，所以可以得出y=120=4x，所以答案选C。
7.
In the figure above, ABCD is a square, what are the coordinates of point B?
A (-4, 2)
B (-2, 4)
C (-2, 6)
D (4, -6)
E (6, -2)
根据题目可知，这是一个正方形，所以边长AB=CD，B点的纵坐标等于D点到C点的距离，所以B点的纵坐标是6，答案选C。
8. If each shaded circular region in the figure above has radius 5, then the total area of the shaded regions is what fraction of the area of the square region?
A. π/12
B. π/36
C. π/60
D. 1/6
E. 1/3
根据图形可知，正方形的面积是30x30，阴影部分的面积是πx5x5，所以答案选A。
9.
In the figure above, the areas of square regions X and Y are 1 and 4, respectively. What is the area of the triangular region?
A. 2
B. 1
C. 3/4
D. 1/2
E. 1/4
根据题目可知，X=1，Y=4，所以两个正方形的边长分别是1和2，所以三角形的面积应该是1.
10.
What is the value of h in the trapezoid above?
A. 6√2
B. 4√3
C. 8
D. 6
E. 4
根据图形可知，这是一个等腰梯形，所以h=6。
11.
A The area of region 150sqft
B ABCDEF
A Quantity A is greater
B Quantity A is greater
C The two quantities are equal
D The relationship cannot be determined from the information given.
ABCDEF这个图形可以划分为长方形和梯形，所以其面积就是5ftX10ft+5ftX10ftX1/2+5ftX10ft=125 sqft<150sqft,所以答案选A。
12.
A The area of square region TUVW
B a2+ b2
A Quantity A is greater
B Quantity A is greater
C The two quantities are equal
D The relationship cannot be determined from the information given.
根据图形可知，里面正方形的面积=外面正方形的面积-4个三角形的面积=(a+b)2—4X1/2ab= a2+ b2,所以答案选C。
13. In the figure above，a-2b=
A. -10
B. -8
C. 0
D. 8
E. 10
根据坐标图可知，a=4，b=-2，所以a-2b=8。
14.
A The area of rectangular region ABCD
B 84
A Quantity A is greater
B Quantity A is greater
C The two quantities are equal
D The relationship cannot be determined from the information given.
根据图形可知，ABCD的面积是(5+7)(3+4)=84，所以答案选C。
15. In the figure above, if QR=4 and PQ=3, then the (X, Y) coordinates of point P are
A (-4, -4)
B (3, 4)
C (-3, 3)
D (-2, 3)
E (-2, 4)
根据题意可知，P点的纵坐标是3，横坐标为-2，所以答案选D。
以上就是GRE数学几何视频讲解的全部内容，希望考生能够通过做题巩固知识点。
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