GRE数学：代数常考题型
<p> 1.正整数<span word="x">x</span>，下面哪个选项不和3<span word="x">x</span>相等</p><p> 我选的是<span word="E">E</span>：7-<span word="x">x</span></p><p> 2.<span word="X">X</span>~3 <span word="y">y</span> = 10 ~6 , 问<span word="X">X</span> 与 10~2比大小</p><p> 解：<span word="x">x</span>=10~2/<span word="y">y</span>~1/3<span word="y">y</span>1则<span word="y">y</span>~1/31 所以还是10~2大选<span word="B">B</span></p><p> 推荐《飞跃常春藤》访谈录</p><p> 数十位天道学子成功进入常青藤名校的心路历程</p><p> 3.数列：<span word="a">a</span>1=3, <span word="a">a</span>2=6, <span word="a">a</span>= <span word="a">a</span>/<span word="a">a</span>， 问：<span word="a">a</span>=?</p><p> 解：3, 6, 2, 1/3, 1/6, 1/2, 3, 6,</p><p> 另一版本：</p><p> 前人几经有误,我的是：<span word="a">a</span>1=2, <span word="a">a</span>2=6, <span word="an">an</span>=<span word="a">a</span>/<span word="a">a</span>, 求<span word="a">a</span>150</p><p> 2, 6, 3, 1/2, 1/6, 1/3 , 2, 6, 3, 所以我的答案是1/3</p><p> 4. 125<span word="w">w</span>+25<span word="x">x</span>+5<span word="y">y</span>+<span word="z">z</span>=264,<span word="x">x</span>,<span word="y">y</span>,<span word="z">z</span>,<span word="w">w</span>,<span word="are">are</span> <span word="nonnegative">nonnegative</span> <span word="integrate">integrate</span>,<span word="and">and</span> <span word="no">no</span> <span word="more">more</span> <span word="than">than</span> 5,<span word="what">what</span> <span word="is">is</span> <span word="w">w</span>+<span word="x">x</span>+<span word="y">y</span>+<span word="z">z</span>?</p><p> 解：用短除法把256写成五进制就是2024，则得到<span word="x">x</span>+<span word="y">y</span>+<span word="z">z</span>+<span word="w">w</span>=2+0+2+4=8</p><p> 5.<span word="a">a</span> <span word="x">x</span>平方+<span word="BX">BX</span>+<span word="k">k</span>=0，给出一个<span word="X">X</span>的值，问另一个。</p><p> 简单，解出<span word="K">K</span>后，再解出<span word="X">X</span>2</p><p> 6.<span word="a">a</span>,<span word="b">b</span>,<span word="c">c</span>,-5,-10的平均数和<span word="a">a</span>,<span word="b">b</span>,<span word="c">c</span>,5,10的平均数之差是多少?</p><p> 解：在考场遇到时看清楚谁在前。 答案是-6 ，也许是6。</p><p> 7. <span word="F">F</span>=2的2<span word="X">X</span>-1方， 求<span word="FF">FF</span></p><p> 解：2的10次方</p><p> 8.-7=5-5=3问<span word="x">x</span>^2-<span word="y">y</span>^2的最大值?</p><p> 解：当<span word="X">X</span>= -7 ，<span word="Y">Y</span>= 0 时最大， 49。</p>
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