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2021年GRE数学新170难题
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题目列表
题目内容
A parabola follows the function f(x) = $$x^2$$ – 7x + 3. Point A lies on the parabola at (2, s), and point B lies on the parabola at (6, t). What is the distance from A to B, rounded to the nearest hundredths place?_____
Floyd is planting a garden in a triangular plot. One side of the plot measures $$5\sqrt3$$, and a second side measures $$7\sqrt11$$. Which of the following are possible values for the third side of the garden?Indicate
all
possible values.
How much greater, in square inches, is the area of a square with a diagonal of 8 inches than the area of a square with a diagonal of 4 inches?
In the rectangle above, a – b > b – a.
Quantity A
$$z^{2}-2x^{2}$$
Quantity B
0
The image of a star is projected onto a planetarium wall by a projector that sits atop a vertical 4-foot stand. If the projector is directed 30 degrees above the horizontal, and the image appears 16 feet above the level floor of the planetarium, then, in feet, how far is the projector from the wall?
What is the area of the shaded region in the figure above, in terms of a, b, and c?
A boat travels due east for 3 kilometers, makes a right turn and heads due south for 12 kilometers, and finally makes a left turn and travels due east again for 6 more kilometers. What is the distance between the boat`s starting and ending locations?_____
In triangle ABD pictured above, AC = 4 and is perpendicular to BD, which is equal to 125% the length of AC. What is the area of triangle ABD?_____
If BC is 3, CD is 5, and AE is 8, what is DE?
△ABC above is an isosceles triangle in which AB = AC. What is the area of △ABC?
A triangle has sides measuring 7 cm and 12 cm. Which of the following are possible values for the perimeter of the triangle?Indicate
all
possible values.
In right triangle LMN, the ratio of the longest side to the shortest side is 5 to 3. If the area of LMN is between 50 and 150, which of the following could be the length of the shortest side?Indicate
all
possible values.
Note: Figure not drawn to scaleWhich of the following are possible side lengths of triangle CDE?Indicate
all
possible values.
In the figure above, BC = 8. What is the area of triangle ABC?_____
The circle above has center O and circumference 12π. If ∠POQ = 30°, what is the area of the unshaded region?_____
A parabola follows the function f(x) = $$x^2$$ – 7x + 3. Point A lies on the parabola at (2, s), and point B lies on the parabola at (6, t). What is the distance from A to B, rounded to the nearest hundredths place?_____
Floyd is planting a garden in a triangular plot. One side of the plot measures $$5\sqrt3$$, and a second side measures $$7\sqrt11$$. Which of the following are possible values for the third side of the garden?Indicate
all
possible values.
How much greater, in square inches, is the area of a square with a diagonal of 8 inches than the area of a square with a diagonal of 4 inches?
In the rectangle above, a – b > b – a.
Quantity A
$$z^{2}-2x^{2}$$
Quantity B
0
The image of a star is projected onto a planetarium wall by a projector that sits atop a vertical 4-foot stand. If the projector is directed 30 degrees above the horizontal, and the image appears 16 feet above the level floor of the planetarium, then, in feet, how far is the projector from the wall?
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