买卖中的数学问题

目前,有许多同学缺乏运用所学数学知识解决实际问题的意识与能力,如不重视并及时改变这一现状,那么我们将来的发展潜能是很有限的.因而,在平时的学习中,我们应该强化对数学知识的应用意识.其实只要细心观察就不难发现:在我们的生活中,数学的应用是无处不在的.本文就将谈谈数学知识在买卖问题中的应用     

例说用自乘法解题

所谓“自乘法”,就是根据题目的结构特征,进行自乘运算解题的一种方法,运用这种方法解题,往往能化繁为简,变难为易,得到简捷合理的解题途径,兹举例说明．     

构造多项式函数解题

在解一些数学竞赛问题过程中,常常需要根据题给条件,构造适当的多项式函数,然后利用多项式函数的性质来解决问题,构造一个怎样的多项式函数有助于解题呢？当然因题而异．本文将通过一些例子来说明．     

优化参数问题的七种意识

<正>求参数的取值范围问题是综合性较强、难度较大且出现频率较高的题型,也是高考命题的热点.这类问题直接求解往往比较复杂,如果我们能适当做一些"技术处理",则可以优化求解过程.下面谈谈优化参数问题的七种意识.1.等价转化意识若直接探讨较困难,可设法转化原命题,     

Effect of Silane Flow Rate on Structure and Corrosion Resistance of Ti-Si-N Thin Films Deposited by a Hybrid Cathodic Arc and Chemical Vapour Process

Ti-Si-N thin flms with different silicon contents are deposited by a cathodic arc technique in an Ar＋N2＋SiH4 mixture atmosphere. With the increase of silane flow rate, the content of silicon in the Ti-Si-N films varies from 2.0 at. % to 12.2 at. %. Meanwhile, the cross-sectional morphology of these films changes from an apparent columnar microstructure to a dense fine-grained structure. The x-ray diffractometer （XRD） and x-ray photoelectron spectroscopy （XPS） results show that the Ti-Si-N film consists of TiN crystallites and SiNx amorphous phase. The corrosion resistance is improved with the increase of silane flow rate. Growth defects in the films produced play a key role in the corrosion process, especially for the local corrosion. The porosity of the films decreases from 0.13%to 0.00032% by introducing silane at the flow rate of 14sccm.