数学
There are 10 children in a company'sday-care center, and a pair of children is to be selected to play a game. At most, how many different pairs arepossible?
(A) 100
(B) 90
(C) 50
(D) 45
(E) 25
【逻辑】
The axis of Earth’s daily rotation istilted with respect to the plane of its orbit at an angle of roughly 23degrees. That angle can be kept fairly stable only by the gravitationalinfluence of Earth’s large, nearby Moon. Without such a stable and moderateaxis tilt, a planet’s climate is too extreme and unstable to support life.Mars, for example, has only very small moons, tilts at wildly fluctuatingangles, and cannot support life.
If the statements above are true, which oneof the following must also be true on the basis of them?
A. IfMars had a sufficiently large nearby moon, Mars would be able to support life.
B. IfEarth’s Moon were to leave Earth’s orbit, Earth’s climate would be unable tosupport life.
C. Anyplanet with a stable, moderate axis tilt can support life.
D. Gravitationalinfluences other than moons have little or no effect on the magnitude of thetilt angle of either Earth’s or Mars’s axis.
E. Noplanet that has more than one moon can support life.
答案
【数学】
题目翻译：有 10个小孩，从中选 2 个出来玩游戏，问最多有多少对组合。
思路点拔：组合题，C102
题目全解：C102=10*9/2=45
【逻辑】
参考思路：
A only by B。B是A的必要条件, 非B推出非A。
If Earth’s Moon were to leave Earth’s orbit-----〉That anglecannot be kept fairly stable ---
a planet’s climate is too extreme andunstable to support life.( based on Without such a stable and moderate axistilt, a planet’s climate is too extreme and unstable to support life.)
(B) If Earth’s Moon were to leave Earth’sorbit, Earth’s climate would be unable to support life.
Is correct!
此题为典型的逻辑关系推理题。
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