【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
The lengths of two legs of a right triangle are 1 and x, respectively, while the length of the hypotenuse of the right triangle is y. Quantity A: y Quantity B: 1+$$x^{2}$$
The figure shows two congruent circles with centers $$P$$ and $$Q$$. If $$RP=QS=1$$ and $$XY=8$$, what is the distance between centers $$P$$ and $$Q$$?
In the xy-plane, line segment RS is a side of a square. The coordinates of R are (2, 10) and the coordinates of the midpoint of RS are (7, 12). Which of the following CANNOT be the coordinates of a vertex of the square?
Point P lies inside rectangle ABCD so that PA=2, PB=3, and PC=4. What is the value of PD?
Two line segments of equal length bisect each other. Quantity A The number of circles that pass through at least three of the four endpoints Quantity B 2
AB∥ED,△ABC and △EDC are similar triangles,and the area of △EDC equals to $$\frac{1}{9}$$ of the area of △ABC. What is the ratio of AE to EC?
The figure shows part of the frame of an office building under construction, where points P, Q, and R are located on the frame at different heights and Q is 8.4 meters directly above P. The line of vision through Q and R makes an angle of 30 degrees with the upper horizontal floor, represented by line segment QS, and the line of vision through P and R makes an angle of 60 degrees with the lower horizontal floor, represented by line segment PT. What is the height of R, in meters, above the lower floor?
EF is parallel to the side of the rectangle ABCD Quantity A：The area of the shaded region Quantity B：18
Square BDFG is inscribed in isosceles triangle ACE. If the area of triangular region ACE is 1, what is the area of triangular region BCD?
The figure above represents six straight city streets that will be repaved. The figure shows only the centerlines of the streets, and all the streets have the same width. Four of the streets are parallel, with centerlines that are 200 meters apart from each other. If the cost to repair each street is estimated as $72,000 per kilometer of the length of its centerline, what is the total estimated cost to repave the six streets? $_____
The area of square region ABIH equals the area of square region JDEF. Quadrilateral BJFI is a parallelogram. The area of squared region ACEG is 9 times the area of square region ABIH. Quantity A The area of ABIH Quantity B The area of BJFI
In the trapezoid, line segment AB is parallel to GH and JI. If the overall altitude of the trapezoid is 20cm, and the distance between line segment AB and GH is x cm, then which of the following would be an expression, in terms of x, the length of line segment AB?
Square ABCD and parallelogram AEFD lie in the same plane, and AB=AE. Quantity A The area of region ABCD Quantity B The area of region AEFD
Parallelogram ABCD has adjacent sides of length 10 and 16. Quantity A The area of the region enclosed by ABCD Quantity B 155
The perimeter of parallelogram $$ABCD$$ is $$360$$ feet. Quantity A The length of diagonal $$AC$$ Quantity B $$90\sqrt{2}$$ feet
In the xy-plane, if three of the vertices of a parallelogram have coordinates (2, -1), (1, 2), and (5, 1), which of the following could be the coordinates of the fourth vertex? Indicate all such coordinates
The lengths of two diagonals of a parallelogram are 10 and 24, respectively. If the two diagonals are perpendicular to each other, then what is the perimeter of the parallelogram?
ABCD is a square, AEFG is a rectangle, and BE=DG. Quantity A The area of square ABCD Quantity B The area of rectangle AEFG
The width of rectangle A is 9, and its area is 90. The length of rectangle B is 12, and its area is 120. Quantity A The length of rectangle A Quantity B The width of rectangle B
Square A is bigger than square B The ratio of two squares` diagonal is 2:1 Quantity A The ratio of two squares` area (A to B) Quantity B 4