下面针对GRE数学样题中出现的一些新题型作一个简单分析:
一、出现了无选项计算题,即要求考生根据题目条件直接计算答案,而不能从已有选项中排除。这意味着对于考生解题思路的要求更高了,对于有些比较复杂的题目如果采取这种形式,考生将无法从选项中获得提示。
例:The averageof the 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9,what is the average of the other 2 numbers?的理解要求提高了。
二、出现了多项选择题,要求考生把所有符合题意的答案都选出来。
由于GRE数学本身考察的数学知识并没有变难,所以这种题型仅仅是增加了考生思维的复杂性,并要求考生更加细心。
例:In triangle ABC,the measure of angle A is 25 and the measure of angle B is greater than 90. Which of the following could be the measure of angle C?
Indicate all possible values.
A. 12 B. 15C. 45 D. 50 E.70
本题考察的是三角形的基本性质:内角和等于180度。由题意可知角A角B之和大于115度,由此可以得出A、B、C、D为正确答案。
三、出现了判断题,即要求考生判断某一等式或某一命题的对与错。
例:The symbol ? represents one of the four operations of addition, subtraction, multiplication, and division, and 3 ? 1 = 3.
For each of the following equations, indicate whether the equation must be true, must be false, or could be either true or false.
Equation
Must Be True
Must Be False
Could Be True or False
6 ? 2 = 3
6 ? 2 = 4
6 ? 2 = 12
Click on your choices.
Click on the answer box, then type in a number. Backspace to erase.
GRE中出现的非常规数学符号可以看成ETS自己定义的一种运算。本题中,符号?代表的是加减乘除四种四则运算中的某一种,而且3?1=3,由这些已知条件可以推出?可以是,也可以不是。接下来就考察考生对于must be true、could be true这类逻辑判断语言的理解了。Must be true意为必然正确,在任何时候都不可违背;Could be true意为可以正确,即存在正确的可能。
因此第一个等式6?2=3在?代表除时错误,但在?代表加、减、乘时正确,因此第一式应为could be true or false有可能对也可能错; 分页标题#e#
第二个等式6?2=4不论?代表或都不正确,因此第二式应为must be false一定错误;
第三个等式6?2=12在?代表乘时正确,但在?代表加、减、除时错误,因此第三式同第一式一样,也是有可能对也有可能错。
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