单选题
【正确答案】
B
【答案解析】To solve this problem, plot the points in the coordinate plane, as shown below:
[*]
AC is the hypotenuse of the right triangle that you just created, and AB is a side; the hypotenuse is always longer than either of the sides, so the quantity in Column B (AC) is greater than the quantity in Column A (AB).
[*]
AC is the hypotenuse of the right triangle that you just created, and AB is a side; the hypotenuse is always longer than either of the sides, so the quantity in Column B (AC) is greater than the quantity in Column A (AB).
【正确答案】
D
【答案解析】To solve this problem, set the radius equal to x; therefore, the height is 3x. The base of a circular cylinder is a circle, and the formula for the area of a circle is πr2. Therefore, the area (Column B) is πx2, which will be greater than 3x (Column A) when x＞ [*] Conversely, if x= [*] then the height would equal the area. Because you don't know what x is, you cannot determine a relationship between the quantities.
【正确答案】
A
【答案解析】To solve this problem, break down the lengths of each of the segments, as follows:
You are given that CD is three times AB, which means that CD=3AB.
You are also given that AC=15, which means that BC=15-AB.
Since BD=35, then BC also equals 35-CD.
Substitute 3AB for CD to get BC=35-3AB.
Now, set the two values for BC equal to one another and solve for AB, as follows:
15-AB=35-3AB
2AB=20
AB=10
Finally, because AB=10 and AC=15, BC must equal AC-AB, or 15-10, which is 5.
You are given that CD is three times AB, which means that CD=3AB.
You are also given that AC=15, which means that BC=15-AB.
Since BD=35, then BC also equals 35-CD.
Substitute 3AB for CD to get BC=35-3AB.
Now, set the two values for BC equal to one another and solve for AB, as follows:
15-AB=35-3AB
2AB=20
AB=10
Finally, because AB=10 and AC=15, BC must equal AC-AB, or 15-10, which is 5.