由于美国数学基础教育的难度增加,gre数学考试也越来越难,所以新版gre考试数学部分不能轻视,以下是小编为大家搜索整理的有关新版gre考试数学中常考知识:代数和几何部分。
1:还有数列题:a1=2,a2=6,an=an-1/an-2,求a150.
解答: an=an-1/an-2,所以an-1=an-2/an-3,带入前式得an=1/an-3,然后再拆一遍得到an=an-6,也就是说,这个数列是以6为周期的,则a150=a144=...=a6,利用a1,a2可以计算出a6=1/3.
如果实在想不到这个方法,可以写几项看看很快就会发现a150=a144,大胆推测该数列是以6为周期得,然后写出a1-a13,不难发现a6=a12,a7=a13,然后那,稍微数数,就可以知道a150=a6了,同样计算得1/3.
2:问摄氏升高30度华氏升高的度数与62比大小.
key:F=309/5=5462
3:那道费波拉契数列的题:已知,a1=1 a2=1 an=an-1+an-2 ,问a1,a2,a3,a6四项的平均数和a1,a3,a4,a5四项的平均数大小比较。
解答:费波契那数列就是第三项是前两项的和,依此类推得到a1-a6为:
1 1 2 3 5 8 13 21 a1+a2+a3+a6=12, a1+a3+a4+a5=11,所以为大于.
4:满足x^2+y^2=100的整数对有多少?
key: 按照X的可能情况顺序写出:
X= Y=
1 1-9
2 1-9
3 1-9
4 1-9
5 1-8
6 1-8
7 1-7
8 1-
9 1-4 =Myanswer:加起来=69
5:24,36,90,100四个数中,该数除以它的所有的质因子,最后的结果是质数的是那个:
Key:90
6:0.123456789101112.,这个小数无限不循环地把所有整数都列出来.请问小数点后第100位的数字是多少?
Key: 位数
0 1 2 3 4 5 6 7 8 9 10
10 11 12 19 20
20 2129 20
30 39 20
40 49 20
50 51 52 53 54 55 56 ――――――第101位 =5??
7:2904x=y2,x、y都是正整数,求x的最小值。
因为:X^2Y^2Z^2=^2
所以把2904除呀除=22231111=2^211^26再乘一个6就OK了
2^211^266=^2=132^2
Key:最小的x=6
8:序列An=1/n-1/,n=1,问前100项和.
解答:An =1/n-1/
An-1=1/-1/n
An-2=1/-/
A1=1-1/2
把左边加起来就是An+An-1++A1=1-1/ ...消掉了好多好多项之后的结果
Key:把n=100带入得
前100项之和为100/101
9:等腰三角形,腰为6.底边上的高为x,底边为y,问4x2+y2和144谁大
解答:勾股定理得2+x2=62,所以4x2+y2=144
10:-1
Key:我想的办法只能是尝试:
原式=r恒小于零
1)r -1, t 0 则原式 -1
2)r -1, t -1则原式 -2
3)r 0 , t 0 则原式 0
例如:r=-0.9 t=-1/3 时,原式=-1,若此时-0.9-1.
11:有长方形4feet8feet,长宽各截去x inch,长宽比2:5,
解答:列出方程412-x)/=2/5 = x=16
虽然新版gre考试数学难度有所增加,但相对于国外考生我们还是占有很大优势的,要在新版gre考试数学中取得优异的成绩,就需要各位考生备考新版gre数学考试部分不要在细节上丢失分数,平时复习时要多加注意。
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