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IV：资料分析","keywords":"","body":"概述\n资料分析考察的有两个方面：\n\n在材料里找出符合题目要求的数据。\n\n根据答案得出能接受的误差，列出算式，估算最后结果。\n\n\n第一点我们暂且不提，大家找数据的能力不会差很多；第二点就有各种五花八门的算法。\n但是我这么多年看下来，大部分的方法并不适合我。因为在某次考试的时候我试了下某种方法，整来整去最后还是直除了，简单粗暴。\n下面介绍一下我现在做资料分析的思路，一般我做下来20题用时30分钟左右，正确率在85%-100%之间浮动。\n"},"资料分析/误差分析.html":{"url":"资料分析/误差分析.html","title":"4.1 误差分析","keywords":"","body":"一、误差分析\n误差分析是整个资料分析的核心，所有的计算都建立在误差分析之上。\n简单地说，误差分析就是让你判断这题计算用的数字，是截取到两位、三位还是四位。（当然需要截取四位计算的题目比较少，但也不是没有\n思路\n先说思路。\n误差分析部分总体的思路是这样：\n\n找差距最小的两个选项。\n计算他们的相对差距。\n根据差距确定本题的数字精度。\n\n下面开始详细说明各个部分该干什么。\n首先，拿到题目以后，第一眼先看选项！第一眼先看选项！！第一眼先看选项！！！因为很重要所以说三次。\n找差距最小的两个选项\n这步是为了使我们估算出来的结果不至于从正确选项偏差到了错误选项上去。为什么选择差距最小的选项不用多说吧？\n比如说有四个选项，分别为：\n\nA.10 B.15 C.30 D.50\n\n根据目测法，我们能确定相差最少的两个选项是A和B（差15）。\n有时候选项是分数，这也没事，把百分号去掉按照整数算就行。\n计算相对差距\n这步里我们要算出这两个选项差了多少百分比。算法为相对差距=两数之差小一点的数\\large \\text{相对差距}=\\frac{\\text{两数之差}}{\\text{小一点的数}}相对差距=小一点的数两数之差。\n我们计算一下上题，ans=15−1010=50%\\large ans = \\frac{15-10}{10} = 50\\%ans=1015−10=50% ，所以这题的相对差距为50%。\n确定精度\n\n相对差距在10%以上，计算时全部四舍五入取两位计算\n相对差距在1%-10%，计算时全部四舍五入取三位计算。\n相对差距小于1%，计算时全部四舍五入取四位计算，不过这种情况很少很少，印象中只有一题。\n\n具体为什么这么取有兴趣的可以看后文。\n"},"资料分析/4.2计算.html":{"url":"资料分析/4.2计算.html","title":"4.2 计算","keywords":"","body":"4.2 计算\n这里有很多的方法，但是我觉得最常用的就是简单粗暴的直除法。除此之外的方法只是锦上添花，平时可以了解一下，但是考试基本用不上，下面分别介绍一下。\n直除法\n虽然叫直除法，但是其实就是除法，为了把它和其他的方法区分开强行给了个名字（Jerry摊手）。\n在上一步误差分析后，我们确定了本题用来计算的数字位数，开始计算。\n有一点要注意的是，在计算过程中，不管是除法还是乘法，如果答案的阶级相同，我们都不需要小数点，也就是说不要带小数点进行计算。因为我们只需要最后计算出来的数字，至于小数点的位置在哪里我们并不关心，只要数字和答案对上就行。\n比如说计算4.58975\\Large \\frac{4.58}{975}9754.58，选项分别为A：0.47%，B：0.55%，C：0.76%，D：0.98%，这个时候我们直接算458975=47−\\Large \\frac{458}{975}=47^-975458=47−，就可以选A了。如果还有个选项是4.7%4.7\\%4.7%，这时候我们就要考虑一下小数位了，因为我们区分不开这两个选项。\n\n比如说下面这题。\n\n看一下选项，能接受的误差大得不行，拿两位去算。找到题目中的广东和世界经济的数字，ans=1328=46+ans =\\Large \\frac{13}{28}=46+ans=2813=46+，看一眼答案选C。\n\n再看一题。\n\n这种题目很常见，就是给几个数字让你算最大的或者是最小的。一般的方法就是全部取三位算，每个选项先算两位，把明显大或者小的选项先排除掉，剩下比较相近的再继续算第三位。但是这题有点特殊，就是刚才说的选项不在一个阶级上的情况。\n按照我们刚才的方法，这题ABCD分别对应的算式是723215=33+\\frac{723}{215}=33^+215723=33+、659257=2+\\frac{659}{257}=2^+257659=2+、240102=2+\\frac{240}{102}=2^+102240=2+、634445=1+\\frac{634}{445}=1^+445634=1+，这么看答案就是A了。但是显然C的数据有差不多20倍，A就两倍。\n这种情况下我们就老老实实正常截位就好了，也就是分子分母从数字后面同时截去X位，多的补零。比如说65931325735=6590257\\Large \\frac{659313}{25735}=\\frac{6590}{257}25735659313=2576590。其实还是659257\\Large \\frac{659}{257}257659，就是后面补了10x10^x10x，因为我们计算的时候把倍数忽略了。\n"},"资料分析/公式.html":{"url":"资料分析/公式.html","title":"4.3 常用公式","keywords":"","body":"常用公式\n这章介绍一下资料分析常用的公式，其实就几条，一定要熟练掌握。\n这里假定大家对各种名词已经有了解，比如说基期、现期、增量等。\n太基础的公式就不写了，比如说基期=现期1+增长率\\Large \\text{基期}=\\frac{\\text{现期}}{1+\\text{增长率}}基期=1+增长率现期等。\n隔年增长率\n公式\nans=r0+r1+r0∗r1ans = r_0 + r_1 + r_0*r_1ans=r0+r1+r0∗r1\n说明\n其中，r0r_0r0为去年相对前年增长率，r1r_1r1为今年相对去年增长率。\n因为增长率都是百分数，计算的时候不要带百分数算。\n比如说计算18.5%+25.7%+18.5%∗25.7%18.5\\%+25.7\\%+18.5\\%*25.7\\%18.5%+25.7%+18.5%∗25.7%，我们直接把百分数全部去掉，最后的乘法算一下百位是多少，他就是相当于最终结果的个位。比如说这个算式，前面是44.2%44.2\\%44.2%，后面随便拿18∗2518*2518∗25，结果为400+400^+400+，最终结果就是44.2%+4+%44.2\\%+4^+\\%44.2%+4+%。一般题目的精度不会要求那么高的，如果要求真的很高的话就继续算十位。\n下面举例说明。\n栗子\n\n2017年，我国规模以上互联网企业完成业务收入7101亿元，比上年增20.8%，上年增长17.4%。与2015年相比，2017年我国规模以上互联网企业完成业务收入增长？\nA.41.8% B.37.2% C.33.5% D.28.8%\n\n代入计算，ans=20.8+17.4+20.8∗17.4ans=20.8+17.4+20.8*17.4ans=20.8+17.4+20.8∗17.4。前面加起来已经大于383838，直接选A。\n如果有负数的也一样，直接代进去减就好了。比如说去年增长−21%-21\\%−21%，今年增长5%5\\%5%，ans=−21+5−21∗5ans = -21 + 5 - 21*5ans=−21+5−21∗5。\n"},"资料分析/有趣的题.html":{"url":"资料分析/有趣的题.html","title":"4.4 有趣的题","keywords":"","body":"4.3 趣题\n有些题目用正常的方法算，就算精通各种计算法也要算一些时间，但是用一些奇怪的方法就能快速算出来，收录在此。\n\n\n2015年，江西省规模以上工业增加值7268.9亿元，比上年增长9.2％，重工业4537.7亿元，增长10%。\n2014年江西省重工业增加值占规模以上工业增加值的比重为:\nA.56.7% B.62.4% C.61.9% D.68.3%\n\n看一下B和C，在1%左右，取三位算，列算式。\nans=454110÷7271092\\Large ans = \\frac{454}{110} \\div \\frac{727}{1092}ans=110454÷1092727\n看着这些数字是不是感觉无从下手？因为这题对精度要求比较高，随便放缩非常有可能算错。\n这时候我们就要站在出题人的角度思考问题。出题人会想：这些考生里肯定有一些菜鸡会把2014年看成2015年，直接把两个值除一下，那我就设置一个答案让他选错。\n我们直接计算454727=624\\Large \\frac{454}{727}=624727454=624，这个就是今年的比重。今年重工业增长速度比规上工业增加值快，所以去年占比低，选C。\n"}}}