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题目内容
The slope of line m is d, and the y-intercept is a. The slope of line n is b, the y-intercept is c. 0 < c < a, 0 < d< b

Quantity A

The x-intercept of line m

Quantity B

The x-intercept of line n
Set S contains all points (x, y) where x and y are integers

Quantity A

The number of points in Set S such that the distance between (x, y) and (7, 5) is 2

Quantity B

4
Line k passes through point (7, 7) and is perpendicular to Line l y=-x+4. If the distance between Point O and point (7,7) is the same as the distance between Point O and the intersection point of line l and line k, then Point O could be?

Indicate all such points.
The radius of a circle is 5. (6, 0) and (0, y) are two ends of the diameter. Which of the following could be the value of y?

Indicate all such values.
In the rectangular coordinate system, the distance between the points $$(a, 2)$$ and $$(b, 6)$$ is $$5$$.

Quantity A

$$|a-b|$$

Quantity B

$$3$$
In the xy-plane, the coordinate of R and S is (1, 7) and (1, 1), respectively. The x-coordinate of T is 3, and the y-coordinate is greater than 4. Which one of the following statements must be true?

Indicate all such statements.
Point Q is on the line l. The distance between point P and line l is 2, PQ=3

Quantity A

The number of point P

Quantity B

4
In the xy- plane, the points P, Q, and S have coordinates (14, 10),(1, 0), and (6, 0), respectively. What is the area of triangular region PQS?
$$y_1=2x^{2}-2$$, $$y_2=-2x^{2}-2$$,

How many points of intersection do $$y_1$$ and $$y_2$$ have?


The center of the circle is (4, 6)

Quantity A: The radius of the circle

Quantity B: 6
In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.


The circle in the xy-plane shown has radius 5 and center O. Line l has a slope of $$\frac{1}{2}$$ and passes through the center of the circle. P is the point in the first quadrant at which l intersects the circle. Which of the following represents the coordinates of point P?
In the xy-plane, Point (6, -8) is on a circle whose center is the origin. If a square is inscribed in the circle, what is the area of the square?
List R={x, y, z, 2.7, 3.8, 5.5}

List S={x, y, z, -2.7, -3.8, -5.5}

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?
List M includes 100 numbers, while List N includes 25 numbers. The average of M is 31, while the average of List M and N combined is 29. What is the average of List N alone?
In a list of 5 different numbers the average (arithmetic mean) of the 3 greatest numbers is 72 more than the average of the 3 least nunbers. The average of the 2 greatest numbers is how much more than the average of the 2 least numbers?
In a number set of A and B, the probability that the number in Set A which are greater than 50 is equal to the probability that the number in Set B which are greater than 55.

Quantity A

The average of Set A

Quantity B

The average of Set B
The average of a list containing 55 numbers is x. If a number k is removed from the list, the new average is x-1. What is the value of k in terms of x?
The average weight of a pair of parents is 240 pounds more than the average weight of their 4 kids. If the average of the entire family is 140, what is the average weight of 4 kids?
If a kid sits an exam for 10 times (the full score of the exam is 100), but only gets an average score of 75, then how many more times does he need to sit the exam and get a score of 100 each time, such that his average score will reach 90?

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