GRE数学考生回忆(7)
<p> 31、5!+6!+7!)/ 上下提出5!后约分得:7/486</p><p> 32、<span word="PS">PS</span> 说有两个圆,有图,跟<span word="X">X</span>轴都相切,两圆也相切,小的半径为4,大的半径为6,求过两圆圆心的直线的斜率,图在附件里</p><p> 33、<span word="PS">PS</span> 有个人买东西,<span word="a">a</span>个东西单价为<span word="b">b</span>, 每个<span word="a">a</span>个东西里有12个<span word="boxes">boxes</span>,卖的时候每3个<span word="boxes">boxes</span> 卖4.98吧,最后赚了一倍...记不太清了.</p><p> 题目不全</p><p> 34、<span word="PS">PS</span> 一个数除以2 3 5都余1,问这个数一下选项中最小是多少,我选了61</p><p> 2、3、5的最小公倍数是30,此数定是 30<span word="n">n</span>+1, <span word="n">n</span>为<span word="positive">positive</span> <span word="integer">integer</span></p><p> 35、<span word="DS">DS</span> <span word="a">a</span>^有几个<span word="prime">prime</span> <span word="factors">factors</span>? 1 <span word="b">b</span>^<span word="c">c</span>有3个质因子 2 <span word="a">a</span>^<span word="b">b</span>有4个质因子 <span word="DS">DS</span>: <span word="a">a</span>^ 有几个<span word="prime">prime</span> <span word="factors">factors</span>?</p><p> 1 <span word="a">a</span>^<span word="b">b</span> 3个<span word="prime">prime</span> <span word="number">number</span></p><p> 2 <span word="b">b</span>^<span word="c">c</span> 4个<span word="prime">prime</span> <span word="number">number</span></p><p> 条件1)<span word="b">b</span>^<span word="c">c</span>有3个质因子即<span word="b">b</span>有3个质因子 但不知<span word="a">a</span>有几个质因子 ,无法求解 条件2)<span word="a">a</span>^<span word="b">b</span>有4个质因子即<span word="a">a</span>有4个质因子,则<span word="a">a</span>^有4个<span word="prime">prime</span> <span word="factors">factors</span> 确定 选<span word="B">B</span> 条件1)<span word="a">a</span>^<span word="b">b</span> 3个质因子即<span word="a">a</span>有3个质因子,则<span word="a">a</span>^有3个<span word="prime">prime</span> <span word="factors">factors</span> 确定选<span word="A">A</span></p><p> 条件2)<span word="b">b</span>^<span word="c">c</span>有4个质因子即<span word="b">b</span>有4个质因子,但不知<span word="a">a</span>有几个质因子 ,无法求解 注意:知道<span word="a">a</span>的质因子就够了,是因为不管<span word="a">a</span>的几次方,都可以分解成质因数的乘积,质因子个数应该是不变的,比如30的质因子是2、3、5,那30平方、立方的质因子都是一样的,302=2=223252,而303=233353 ,所以质因子数与指数是多少无关。</p>
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