GRE数学：培养数学思维
<p> 很多同学看到新<span word="GRE">GRE</span>数学题时自然而然的会想复杂，想太多。甚至有些同学看到最简单的<span word="GRE">GRE</span>数学题都迟迟不敢选答案，总觉得题目里面有陷阱，否则不应该这么简单。这是因为国内的种种数学考试都是做横向比较，考生只和同一批考生比成绩。</p><p> 因此，在中高考这些国内数学考试中，出题人会大量的给考生设置陷阱，诱导一部分人犯错，从而拉开考生档次。然而与国内考试不同，<span word="GRE">GRE</span>数学是水平能力测试，旨在考查考生对基本数学概念的理解和基本数学技能的应用，而不是要拉开考生的档次，所以<span word="GRE">GRE</span>数学的出题人并不会给考生大量的设置陷阱。</p><p> 所以对于任何一道<span word="GRE">GRE</span>数学题，大家要做的就是读懂这道题，找到这道题的核心，理解出题人想要考察的方面。除此之外其他一切都无需多想，只需循着题目的内在逻辑一步步解题，最终一定会得到正确答案。</p><p> 我们来看一道大部分同学都会纠结，甚至做错的题目《<span word="GRE">GRE</span>官方指南数学分册第二版》中第83页的第158题：</p><p> <span word="A">A</span> <span word="set">set</span> <span word="of">of</span> <span word="numbers">numbers</span> <span word="has">has</span> <span word="the">the</span> <span word="property">property</span> <span word="that">that</span> <span word="for">for</span> <span word="any">any</span> <span word="number">number</span> <span word="t">t</span> <span word="in">in</span> <span word="the">the</span> <span word="set">set</span>, <span word="t">t</span>+2 <span word="is">is</span> <span word="in">in</span> <span word="the">the</span> <span word="set">set</span>. <span word="If">If</span> -1 <span word="is">is</span> <span word="in">in</span> <span word="the">the</span> <span word="set">set</span>, <span word="which">which</span> <span word="of">of</span> <span word="the">the</span> <span word="following">following</span> <span word="must">must</span> <span word="also">also</span> <span word="be">be</span> <span word="in">in</span> <span word="the">the</span> <span word="set">set</span>?</p><p> <span word="I">I</span>. -3</p><p> <span word="II">II</span>. 1</p><p> <span word="III">III</span>. 5</p>
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