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利用向量知识解证立几问题的两个方向性策略
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作者 李智敏 《中学生百科(高中语数外)》 2010年第4期24-28,共5页
用向量知识解证立体几何问题,常常比用几何法简便,其优点在于:向量可以使立体几何问题代数化,简单的代数运算取代了复杂的几何证明,解题的方向明确,可避免作辅助线及运用繁多的定理、公理等知识进行推理的思维过程,在立体几何中... 用向量知识解证立体几何问题,常常比用几何法简便,其优点在于:向量可以使立体几何问题代数化,简单的代数运算取代了复杂的几何证明,解题的方向明确,可避免作辅助线及运用繁多的定理、公理等知识进行推理的思维过程,在立体几何中求空间角、空间距离及处理垂直关系显得尤为方便。 展开更多
关键词 向量知识 立几问题 方向性策略 中学 数学教学
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Algebraic solution of differential geometric guidance command and time delay control 被引量:14
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作者 LI KeBo CHEN Lei TANG GuoJin 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2015年第3期565-573,共9页
According to the three-dimensional geometry of the engagement,the explicit algebraic expression of differential geometric guidance command(DGGC)is proposed.Compared with the existing solutions,the algebraic solution i... According to the three-dimensional geometry of the engagement,the explicit algebraic expression of differential geometric guidance command(DGGC)is proposed.Compared with the existing solutions,the algebraic solution is much simpler and better for the further research of the characteristics of DGGC.Time delay control(TDC)is a useful method to tackle the uncertainty problem of a control system.Based on TDC,taking the target maneuvering acceleration as a disturbance,the estimation algorithm of the target maneuvering acceleration is presented,which can be introduced in DGGC to improve its performance.Then,the augmented DGGC(ADGGC)is obtained.The numerical simulation of intercepting a high maneuvering target is conducted to demonstrate the effectiveness of ADGGC. 展开更多
关键词 differential geometric guidance command explicit expression time delay control target acceleration estimation
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