探讨2012美国数学建模优秀论文1A题2012年美国数学建模模竞赛B题分析及优秀论文讲评.doc

　　探讨2012美国数学建模优秀论文1A题2012年美国数学建模模竞赛B题分析及优秀论文讲评 探讨2012美国数学建模优秀论文1A题2012年美国数学建模模竞赛B题分析及优秀论文讲评 导读：AmericanmathematicianMandelbrot(BBMandelbort),hasbeenusedtodescribethelungs,kidneys,bloodvessels,floostmonexamplesofself-similarityfractals.Fromthetrunktothebranchesofthetree,thestructureofeachbranchissimilarmaryAs is knoportant role in photosynthesis and it is also the important occasions used to exchange information e trees andelbrot (BBMandelbort), has been used to describe the lungs, kidneys, blood vessels, floost mon examples of self-similarity fractals. From the trunk to the branches of the tree, the structure of each branch is similar s that the contour 3 4 5 6 7 8 9 10 探讨2012美国数学建模优秀论文1A题2012年美国数学建模模竞赛B题分析及优秀论文讲评 导读：avesBuildamathematicalmodeltodescribeandclassifyleaves.Considerandansilar easurement of a tree trunk diameter, length and branching angle, it can be able to establish the structure model of the tree.So building the fractal model tulated tree can be calculated. Using assumption that the leaves groeasured, ate mass of the ass, and volume. odel based on the parison of the leaf shapes in different samples to depict the correlation bet;Houch do the leaves on a tree ight one estimate the actual atter any other parts of the tree) Hoight one classify leaves Build a mathematical model to describe and classify leaves. Consider and answer the following: Why do leaves have the various shap 3 4 5 6 7 8 9 10 探讨2012美国数学建模优秀论文1A题2012年美国数学建模模竞赛B题分析及优秀论文讲评 导读：hetreeanditsbrancheseffecttheshapeSpeakingofprofiles,isleafshape(generalcharacteristics)relatedtotreeprofile/branchingstructureHoatetheleafmassofatreeIsthereacorrelationbetassandthesizecharacteristicsofthetree(height,mass,vo es Do the shapes “minimize” overlapping individual shadoaximize exposure Does the distribution of leaves e” of the tree and its branches effect the shape Speaking of profiles, is leaf shape (general characteristics) related to tree profile/branching structure Hoate the leaf mass of a