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第202章 二项式定理之实例探究(2 / 2)

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时近黄昏,课尚未尽。戴浩文曰:“今日所讲,汝等课后当反复思索,多加练习。明日继续。”

诸生皆行礼告退,心内满是对二项式定理之新悟。

次日,戴浩文复至讲堂,又出数例。

“有商队行于途,其获利之数若以二项式计。每程利为不定,设初利为五金,或增或减,经十程,求总利之可能范围。”

学子们纷纷动笔,各抒己见。

一生言:“先生,当考虑各种增减之组合,算其极值可得范围。”

戴浩文点头称是,继续出题。

“某城人口增减,若以二项式度之。初有人口万余,年增或减之率既定,经五年,算其可能之人口数。”

诸生热烈讨论,互相比对答案。

戴浩文时而点拨,时而赞扬,课堂气氛热烈非凡。

“再观此例。古之织造,布帛之产量若以二项式推之。机杼之数有限,工效有差,经月余,求其总产量之概数。”

学子们渐入佳境,应答如流。

如此数日,戴浩文以种种实例,令学子们对二项式定理之运用愈发娴熟。

或有一题:“园林之植木,其成长之况若依二项式。初苗之高已定,年增之高有别,历数载,求其可成之材数。”

众学子深思熟虑,答案各异,然皆有理有据。

戴浩文一一评点,使众人皆有所获。

又有:“工匠造器之精粗,以二项式测之。初质已定,工序增减其质,经数道,求其成品之优率。”

学子们争论不休,各执一词,最终在戴浩文的引导下,得出正解。

时光荏苒,学子们于二项式定理之实例探究中,功力日进。

一日,戴浩文集诸生于庭中,出一难题:“今有宝库一座,藏珍若干。开库之匙密码依二项式设之,已知其式之参数,试求开库之法。”

众学子围坐,共同商讨,历经多时,终得解法。

戴浩文大笑曰:“汝等聪慧过人,已通此理。然学无止境,尚需砥砺前行。”

此后,学子们运用二项式定理,解决诸多难题,声名远播。

戴浩文之教诲,如明灯照亮学子前行之路,使其在数学之海洋中畅游无阻。

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