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The results showed that plant height increasing speed was significantly slow at the former and middle stage when K level was above 180 kg/hm2.On the contrary,the height of case-hardened plant improved markedly.When the K level was above 135 kg/hm2,the stem girth and maximal leaf area differed significantly as compared with CK,so did LAI.Yield and product value per unit area took the first place when 180 kg/hm2 potassium was used.Average price and proportion of middle and first grade tobacco leaf of 225 kg/hm2 potassium treatment were the highest as compared with other treatments and CK.Four economic characters of the two treatments differed at obvious significant level as companied with CK.The total sugar and K2O were increased,nicotine, total N,protein and Cl- were decreased with increased K levels.The potassium lacked symptom was alleviated with increased K levels,no symptoms was observed when 180 kg/hm2 potassium was used,the degree of weather infected fleck was decreased when the K levels was increased.

结果表明,在烟株生长前中期,当施钾量达到180 kg/hm2以上时,株高增长显著变慢,而定型株高则显著增高;茎围和最大叶的面积在施用135 kg/hm2以上的处理与CK之间的差异性达到极显著水平,叶面积指数也存在显著差异;单位面积产量和产值以施用180 kg/hm2的处理居首位,中上等烟比例和均价以施用225kg/hm2的处理最高,这两种处理的以上4个经济性状与CK之间存在极显著性差异;烟叶中的总糖和K2O含量随施钾量的增加而上升,烟碱、总氮、蛋白质和C-含量则下降;缺钾症状随施钾量增加而减轻,至施用180kg/hm2时已无缺钾症状;烟叶气候斑的发生程度也随施钾水平的提高而减轻。

The results showed that:(1) we can mapping quantitative trait locus while estimating the variance component of QTL;(2) granddaughter design is better than daughter design when mapping QTL;(3) it is easy to map a QTL for trait with a high heriability and a large QTL variance contribution;(4) we can estimate the variance component of a QTL by TM-BLUP based on ML method whether the QTL has only 2 alleles or QTL has normal distributed alleles effects;(5) the estimation accuracy of variance component contributed by QTL was improved by using of grand daughter design;(6) the higher the heritability and the QTL variance contribution was, the more accurate estimation of QTL variance component.

结果表明:(1)采用随机QTL效应模型和最大似然法,在估计QTL方差组分的同时,能够定位QTL;(2)孙女设计与女儿设计相比,在其它因素相同时,容易检出QTL;(3)遗传力高,QTL方差贡献较大的性状,QTL检出的效果优于遗传力低,QTL方差贡献较小的性状;(4)无论QTL上有2个等位基因,还是QTL上等位基因的效应服从正态分布,都可将其看作随机效应,采用基于TM-BLUP的ML法,估计其方差组分和定位QTL;(5)QTL方差组分估计的准确性,孙女设计高于女儿设计;(6)遗传力高的性状,QTL方差贡献大的QTL,QTL方差组分估计的准确性高。

The first section introduces some basic concepts[9].The second section introduces Schmidt"s method of proving isoperimetric inequality [2].The third section introduces Hurwitz"s method [9].The fourth section takes from my tutors lecture notes.The method is due to REILLY [10].Finally,I make use of variational method to prove the circle among the curves of length L encloses the biggest area on the plane.

首先介绍了平面上的一些基本概念[9],其次介绍了文献[2]中Schmidt证明等周不等式的方法,再次介绍了文献[9]中Hurwitz证明等周不等式的方法,然后介绍了导师吴发恩整理的文献[8]中REILLY的方法证明平面上的等周不等式[10],最后我利用变分的方法证明了平面上等长的曲线围成的面积最大时为圆。

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