题目列表

y=2x-$x^{2}$

Quantity A

The maximum value of y

Quantity B

0

If a circle centered with the origin O passes through point A(-9,12),then what is the area of the square inscribed in the circle?
In x-y plane, a circle is centered at the origin and its radius is 5. A line whose slope is 2 passes through the origin and intersects with the circle at point P. What is the coordinate of point P?

The figure above is a circle centered point A and ∠BAC=58°

Quantity A

The length of chord BC

Quantity B

A is the center of the circle and ∠CAB=50°

AB

Quantity B

BC

The leg of isosceles triangle A is 8, while the leg of isosceles triangle B is 10.

Quantity A

The area of isosceles triangle A

Quantity B

The area of isosceles triangle B

In an equilateral triangle ABC,three points P,Q and R are on the side AB,AC and BC, respectively.

Quantity A

The sum of any two interior angles in Δ ABC

Quantity B

The sum of any two interior angles in Δ PQR

In a right isosceles triangle, the area of the shaded region is 44,BD=CE=4,and AC=AB,what is the length of AC?

If ∠ABC=∠ADB=∠DEB=∠ECB=90°,what is the total value of x+y+z?

Quantity A: The perimeter of the quadrilateral ABCD
Quantity B: 20

Quantity A

The length of the third side where the length of the remaining two sides of a right triangle is 2 and $\sqrt{3}$, respectively.

Quantity B

$\frac{3}{2}$

The length of two sides of a right triangle is 5 and 10, respectively.

Quantity A

The length of the third side

Quantity B

11

In a right triangle, two of its legs are x and y.
Quantity A: x+y
Quantity B: :√(x^2+y^2)
The length of the hypotenuse of a right triangle is 4.
Quantity A: The perimeter of the triangle
Quantity B: 12

x

Quantity B

y+z

What is the (straight-line) distance between point A and point D?

In the △ABC, AE= $\frac{1}{3}$AC, AD=$\frac{1}{3}$ AB, BF=$\frac{1}{3}$ BC, what is the ratio of the area of the shaded region to the area of △ABC?

AB=AC=4, DE∥BC, ∠A=90 and the area of quadrilateral DECB is 4.

AE

Quantity B

EC

The figure above is a parallelogram, AB=BC=CD=DA, and ∠A=60°

Quantity A

The ratio of AC to BD

Quantity B

$\sqrt{3}$

The quadrilateral ABCD shown above is a parallelogram. BD=8,AC=10

AB

BC

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