【摘要】 树木的叶片面积与叶柄长、节间长之间有着明显的内在联系.本文分析研究了这个联系,在适当的理想假设下通过数学建模得到了反映树木叶片面积与叶柄长、节间长和叶倾角之间的关系模型.接着,文章对模型的不合理之处进行了分析与改进,并得到叶片面积与节间长、心茎距之间的关系表达式.最后,本文利用分别采集到的13种互生和对生树木叶子上的相关数据对模型进行了检验.检验结果表明建立的模型是正确的,能够反映树木的叶片面积与叶柄长、节间长和叶倾角之间的相互数量关系.更多还原

【Abstract】 There is an internal relationship obviously between leaf area and petiole length, internodes length of trees.This paper studies this relationship and a model reflecting the relationship between leaf area and petiole length,internodes length,leaf inclination angle is obtained by mathematical modeling under some ideal hypothesis.Then the unreasonable part in the model is discussed and improved,and a formula reflecting the relationship between leaf area and internodes length,center-stem distance is obtained.Lastly the model is tested by data collected from thirteen alternate and opposite trees respectively.The result shows that the model is correct,can reflect the relationship between leaf area and petiole length,internodes length,leaf inclination angle of trees.更多还原