GMAT考试中数学整除技巧的分析
<p> <span word="GMAT">GMAT</span>数学中包含了很多种题型的做题规则与技巧，他们在<span word="GMAT">GMAT</span>数学题的完成过程中起到了重要的作用。今天，小编从<span word="GMAT">GMAT</span>考试数学整除知识出发，为大家谈谈整除的技巧。</p><p> <span word="GMAT">GMAT</span>数学中整除的定义</p><p> 整除： 若整数<span word="a">a</span> 除以大于0的整数<span word="b">b</span>，商为整数，且余数为零。 我们就说<span word="a">a</span>能被<span word="b">b</span>整除，记作<span word="b">b</span>|<span word="a">a</span>，读作<span word="b">b</span>整除<span word="a">a</span>或<span word="a">a</span>能被<span word="b">b</span>整除.它与除尽既有区别又有联系.除尽是指数<span word="a">a</span>除以数<span word="b">b</span>所得的商是整数或有限小数而余数是零时，我们就说<span word="a">a</span>能被<span word="b">b</span>除尽.因此整除与除尽的区别是，整除只有当被除数、除数以及商都是整数，而余数是零.除尽并不局限于整数范围内，被除数、除数以及商可以是整数，也可以是有限小数，只要余数是零就可以了.它们之间的联系就是整除是除尽的特殊情况.</p><p> 注：<span word="a">a</span> <span word="or">or</span> <span word="b">b</span>作除数的其一为0则不叫整除</p><p> 整除的一些性质为：</p><p> 如果<span word="a">a</span>与<span word="b">b</span>都能被<span word="c">c</span>整除，那么<span word="a">a</span>+<span word="b">b</span>与<span word="a">a</span>-<span word="b">b</span>也能被<span word="c">c</span>整除.</p><p> 如果<span word="a">a</span>能被<span word="b">b</span>整除，<span word="c">c</span>是任意整数，那么积<span word="ac">ac</span>也能被<span word="b">b</span>整除.</p><p> 如果<span word="a">a</span>同时被<span word="b">b</span>与<span word="c">c</span>整除，并且<span word="b">b</span>与<span word="c">c</span>互质，那么<span word="a">a</span>一定能被积<span word="bc">bc</span>整除.反过来也成立.</p><p> 整除有下列基本性质：</p><p> 若<span word="a">a</span>|<span word="b">b</span>，<span word="a">a</span>|<span word="c">c</span>，则<span word="a">a</span>|<span word="bc">bc</span>。</p><p> 若<span word="a">a</span>|<span word="b">b</span>，则对任意<span word="c">c</span>，<span word="a">a</span>|<span word="bc">bc</span>。</p>
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