以线段长为方程根的中考题析解

以两线段长为一元二次方程的根的问题的解法，是把一元二次方程与几何问题直接挂钩。沟通了几何与二次方程之间的联系。     

体育课堂教学互动特点分析

体育课堂教学是师生间心理互动的过程,师生间的互动方式对于体育教学目标的实现、任务的完成,调动学生体育学习积极性都有直接的影响.体育教学目标的制约性、课堂环境的效应性、教学交往的相互性、教学过程的动态性,体现了体育课堂教学互动的特点.     

一种有限非交换环的构造方法

先分别对高斯整环Z(i)=｛a bi｜a,b∈Z｝的元素a bi的实、虚部a,b按模n同余分类得到Zn(i)=｛[a] [b]i｜a,b∈Z｝,再利用两个的直积构造了一类有限非交换环。     

无约束优化问题的修正WYL共轭梯度法及其收敛性质

在相关文献的基础上，提出无约束优化问题的修正WYL共轭梯度法，该方法不依赖于任何线搜索而满足充分下降性，证明了采用Arimijo型线搜索算法的全局收敛性，及在适当条件下算法具有R-线收敛速率，证明了采用重开始策略时算法具有n步二次收敛性。     

Effects of psychosocial variables in the similarity and interdependence of physical activity levels among adolescent best friend dyads

Given that physical activity (PA) tends to decrease with age during adolescence, addressing factors that affect change is important. This study examined the similarity and interdependence of PA as influenced by psychosocial factors among adolescent best friend dyads. A total of 660 adolescents, representing 330 best friend dyads, completed questionnaires with regard to PA, sitting time, perceived exercise benefits and barriers, physical self-perception and social support for PA. Dyads were also identified as reciprocal and non-reciprocal best friends; reciprocal means that both considered each other best friends and non-reciprocal were those in which only one considered the other a best friend. Data were analysed using a hierarchical linear model framework. Results indicated significant similarities between reciprocal best friend dyads for PA and sitting time, and for sitting time in non-reciprocal best friends (P values <.01). Psychosocial variables were associated with PA in reciprocal best friend dyads and with sitting time in reciprocal and non-reciprocal best friend dyads. Best friend gender, regular sports practice of the person, perceived exercise barriers of the best friend and best friend social support were the best predictors for PA.     

论曹禺戏剧中的意象并置

曹禺戏剧中常常运用意象并置的诗化手段将看似散乱的材料进行“聚”与“收”的处理,以达到对材料深层寓意的充分挖掘。其意象并置的运用普遍而又多样;既有相似意象的对等,又有对比性意象的“跳跃衔接”,还有相同意象的多角度重复,它们与剧中浓郁的叙事性相互对抗,形成戏剧的内在结构张力。     

曲面到复Grassmann流形调和映照的迷向性质

利用广义Frenet公式,研究曲面到复Grassmann流形调和映照的迷向性质,给出了调和映照迷向的新的充分条件．对于非迷向的调和映照,得到了与其迷向阶有关的曲率Pinching性质．     

Heroes of resiliency and reciprocity: teachers’ supporting role for reconceptualizing superhero play in early childhood settings

Superhero play is a specialised form of fantasy play with considerable appeal to young children. During superhero play, children have opportunities to pretend and often to play different types of roles within a safe and caring environment. When guided appropriately in an early childhood classroom, superhero play gives young children opportunities to gain a sense of mastery and empowerment as well as developmentally appropriate benefits by improving language skills, problem-solving and cooperation with peers. By recognising and modelling the characteristics of resiliency and promoting kindness with peers during superhero play, teachers can encourage children to be kind and resilient heroes to classroom friends. As today’s classrooms increasingly include diverse members, it is important for young children to understand and appreciate the peers they play and learn with at school. The result may be a richer learning experience and may break down barriers that can produce unfairness, bullying and aggressive behaviours. This article explores the essence of superhero fantasy play along with its benefits for young children. In addition, the article examines the challenge of superhero play in classrooms for early childhood educators by exploring teachers’ roles in play. A new pedagogy for supporting superhero play is introduced, addressing spiritual and educational concerns by suggesting ways in which teachers can increase resiliency, encourage new friendships and build classroom community among peers during play and classroom activities.     

二元二次Jacobi猜想的求逆公式

利用行列式的基本知识和计算技巧,给出了复数域上一次与二元二次Jacobi猜想的一个简明的求逆公式,验证了Abhyankar多元幂级数在上述情形下的形式求逆公式。