题目列表

题目内容
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




In the xy-plane, a circle with point O at the center is tangent to both the x-axis and the y-axis. AB is a diameter of the circle.

Quantity A

m

Quantity B

n


w < 45



Quantity A

m

Quantity B

n




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 $$y ≤ |x|$$?
In the xy-plane, triangular region R is bounded by the lines x = 0, y = x, and y=-x+5. Which of the following points lie inside region R ?

Indicate all such points
Which of the following could be a portion of the graph of $$y=(x+2)^{2}-5$$ in the xy-plane?
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?
The function $$f$$ is defined for all numbers $$x$$ by $$f(x)=57x^{2}-kx+925$$, where $$k$$ is a constant, and $$f(x)=f(-x)$$ for all $$x$$.

Quantity A

$$k$$

Quantity B

$$0$$


In the xy-plane, a circle with radius $$4$$ has its center at the point $$(-1, 2)$$ Which of the following is an equation of the circle?
In the xy-plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.


Quantity A

y

Quantity B

110




Quantity A

x+z

Quantity B

y




The three squares share a common vertex, as shown.

Quantity A

$$a+b$$

Quantity B

90






In quadrilateral QRST, the length of RS is less than the length of QT, and RS is parallel to QT.

Quantity A

The length of QR

Quantity B

The length of ST




Quantity A

The length of line segment AB

Quantity B

The length of line segment DC




In the figure below, BC is parallel to AD.

Quantity A: The length of AB

Quantity B: The length of DC

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