【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
In the xy-plane, the point (t, 5t-5) lies on the line with equation y=$$\frac{1}{2}$$ x-$$\frac{2}{3}$$ . What is the value of t? Give your answer as a fraction.
Which of the following best represents the graph of the equation $$y-5x+4=0$$ in the xy-plane?
In the rectangular coordinate system, point P has coordinates (-2,1) and a point Q has coordinates (3,6). Quantity A The slope of line l Quantity B 1
Two shaded square regions, including their edges, are shown above in the xy -plane and are labeled I and II, respectively. $$S$$ is the set of all possible slopes of line segments $$PQ$$, where point $$P$$ is in region I and point $$Q$$ is in region II. Quantity A The greatest member of set $$S$$ Quantity B $$\frac{4}{3}$$
The side of square A and B is 1. Quantity A The greatest possible slope when drawing a line through one vertex of each square Quantity B $$\frac{4}{3}$$
In the rectangular coordinate system, a certain line has slope 3. Which of the following pairs of points could be on the line?
Lines $$k$$ and $$l$$ lie in the xy-plane and are parallel. Quantity A $$a$$ Quantity B $$b$$
In the xy-plane, a line that has a slope of -3 passes through the points (3, k) and (-2, m). Quantity A k-m Quantity B -15
In a rectangular coordinate system, a line passes through point A (3,4) and point B (r,t) where r≠3. Quantity A: The slope of the line Quantity B: $$\frac{4}{3}$$
In the xy-plane, the coordinates of point A is (3, 4), while the coordinates of point B is (x, y). The distance between point A and B is 5. (x≠3) Quantity A The slope of line AB Quantity B $$\frac{4}{3}$$
In the xy-plane, line m intersects the y-axis above the origin and intersects the x-axis to the right of the origin. The distance between the x- and y-intercepts of line $$m$$ is 5. If the ratio of the distance between the origin and the x-intercept to the distance between the origin and the y-intercept is 4 to 3, which of the following is an equation of line $$m$$?
The shaded triangle in the xy-plane above is bounded by the x-axis and the graphs of y=-x+3 and y=($$\frac{3}{2}$$ )x+3. What is the area of the triangle?
Line l: y=$$\frac{3}{2}$$ x+8 Line k: y=-$$\frac{2}{3}$$ x+b The x-coordinate of the intersection point of line l and k is 6. What is the x-intercept of line k? Give your answer as a decimal.
Line l and k are perpendicular and intersects at point (-4, 4). If line k passes through the origin, then what is the x-intercept of line l?
In the xy-plane, line $$l$$ has $$x$$-intercept 3 and $$y$$-intercept 4, and line $$m$$ has $$x$$-intercept 4 and $$y$$-intercept 3.$$ Quantity A The slope of line $$l$$ Quantity B The slope of line $$m$$
In plane P, point Q is on line l. Quantity A The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3 Quantity B 4
Quantity A The perimeter of quadrilateral RSTW shown in the xy-plane Quantity B 34
Quantity A The distance between point (5, 5) and (0, 0) Quantity B The distance between point (4, 6) and (0, 0)
In the xy-plane, the points (-2, 3) and (6, -3) lie on a circle, and the line segment connecting the points is a diameter of the circle. What is the area of the circle?
Line segment AB is a diameter of a circle. If the coordinates of point A and point B are (0, 2) and (6, 0), respectively, then what is the area of the circle?