陕西省三原县2024年初中学业水平考试模拟试题(一)数学.考卷答案

陕西省三原县2024年初中学业水平考试模拟试题(一)数学.考卷答案试卷答案,我们目前收集并整理关于陕西省三原县2024年初中学业水平考试模拟试题(一)数学.考卷答案得系列试题及其答案,更多试题答案请关注本网站↓↓↓

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陕西省三原县2024年初中学业水平考试模拟试题(一)数学.考卷答案试卷答案

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分析我们根据“以较大的数减较小的数,接着把所得的差与较小的数比较,并以大数减小数.继续这个操作,直到所得的减数和差相等为止.”的原则,易求出利用更相减损之术求1230与411的最大公约数时,第三次做差所得差值.

解答解:利用更相减损之术求1230与411的最大公约数步骤如下:
1230-411=819,
819-411=408,
411-408=3,

即第三次做差所得差值为3,
故答案为:3

点评本题考查的知识点是最大公因数和更相减损术,更相减损术的方法和步骤是:以较大的数减较小的数,接着把所得的差与较小的数比较,并以大数减小数.继续这个操作,直到所得的减数和差相等为止.