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解析几何   题数:62
On the number line, the distance between point A and point C is 5 and the distance between point B and point C is 20. Does point C lie between point A and point B ? (1) The distance between point A and point B is 25. (2) Point A lies to the left of point B.
In the rectangular coordinate system, are the points (r, s) and (u, v) equidistant from the origin?(1) r + s = 1(2) u = 1 - r and v = 1 - s.
If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to -1 ? (1) Line l passes through the origin and the point (1, 2). (2) Line k has x-intercept 4 and y-intercept 2.
Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of line p ?(1) Lines n and p intersect at the point (5,1). (2) The y-intercept of line n is greater than the y-intercept of line p.
If a and b are nonzero numbers on the number line, is 0 between a and b ? (1) The distance between 0 and a is greater than the distance between 0 and b. (2) The sum of the distances between 0 and a and between 0 and b is greater than the distance between 0 and the sum a + b .
In the coordinate plane above, what is the area of rectangular region MNRS ?(1) M has coordinates (2, 1).(2) N has coordinates (2, 5).
The points A, B, C, and D are on a number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D ? (1) The distance between C and A is the same as the distance between C and B. (2) A is to the left of D on the number line.
In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of r2 + s2?(1) The circle has radius 2.(2) The point (√2, -√2) lies on the circle.
If J, S, and V are points on the number line, what is the distance between S and V?(1) The distance between J and S is 20.(2) The distance between J and V is 25.
If n is an integer between 3 and 9, what is the value of n ?(1) On the number line, the distance from 3 to n is 23 ​ of the distance from 3 to 9.(2) On the number line, n is 10 units to the right of -3
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