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题目内容
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 distance between point (5, 5) and the origin

Quantity B

The distance between point (4, 6) and the origin


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?
In a rectangular axis, point A (a,3) and point B (b,9) is 8 units apart.

Quantity A

b-a

Quantity B

5


In the xy-plane, A(0, 0), B(4, 3) and C(a, 0) (a>0) are three vertices of a triangle. The area of △ABC is 4.

Quantity A

a

Quantity B

4


The coordinates of one of the vertices of a square is (2,2). The side of the square is 4. Which of the following could be coordinates of the vertex opposite to (2, 2)?

Indicate all such points.
In the rectangular coordinate system, the point A(2, 4) is equidistant from the points B(d, k) and C(d, z), where k≠z and points A, B, C lie on the same line.

Quantity A

$$\frac{k+z}{2}$$

Quantity B

4


In the rectangular coordinate system, point (x,y) is equidistant from points (3,3) and (7,3).

Quantity A

y

Quantity B

3




Quantity A

w+d

Quantity B

c+z




Which of the following point(s) are inside the shaded region?

Indicate all such points.
Of the following, which graph best represents a shaded region in which every point $$(x, y)$$ satisfies the inequality $$y ≤ |x|$$?
The graph of y = ($$x^{2}$$+2x+1) + d (d > 0) intercepts with the x-axis at how many points?
If the length and width of a rectangle are 2x+5 and 3x-7, respectively (x≥3), then what is the least possible area of the rectangle?


Quantity A

x+z

Quantity B

y




The three squares share a common vertex, as shown.

Quantity A

a+b

Quantity B

90°






Line $$l_1$$ is parallel with line $$l_2$$

Quantity A

AB

Quantity B

CD




A rectangle is folded in a way as the figure above shows. If ∠1=30°,then what is the angle of ∠ABC?


Quantity A

x+y

Quantity B

90




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