挖掘单位向量的内涵,利用单位向量的特性解题（To explore the connotation of unit vector, to solve the problem of unit vector）.docVIP

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挖掘单位向量的内涵,利用单位向量的特性解题（To explore the connotation of unit vector, to solve the problem of unit vector）.doc

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挖掘单位向量的内涵,利用单位向量的特性解题（To explore the connotation of unit vector, to solve the problem of unit vector）

挖掘单位向量的内涵,利用单位向量的特性解题（To explore the connotation of unit vector, to solve the problem of unit vector） Information worth having It comes from the accumulation of learning There must be a problem Also please criticize the correct! The content of the unit vector is excavated Im going to use the identity of the unit vector Zhang wenyao, senior middle school of ancient town, zhongshan city, guangdong province [abstract] the unit vector is the vector that is the length of a unit This is for the teachers and students of high school Very familiar with But have you ever tried to explore the unique properties of unit vectors So what do we do with these properties of the unit vector? Even using these properties can solve some of the more complex math problems. Below we will illustrate by several specific examples: how to find the meaning of unit vector? How do you use some of its special properties to solve this problem? I hope to bring some enlightenment to the future of mathematics learning Key words: unit vector, vector model, dot product of vector What are the special properties of unit vectors? How do we use these properties of vectors to solve mathematical problems? We might as well represent the unit vector in letters By exploiting the connotation of unit vector The characteristics of unit vectors are summarized as follows: 1. Definition of unit vector: 1 unit vector, unit vector, unit vector 2. Representation of unit vector (i.e. common representation of unit vector) : (1) = (1 0); (2) = (0 1); (3) = ( ); ... ... If I have a non-zero vector The mold for The unit vector can also be expressed as: (4) (not simultaneously zero) 3. Special properties of unit vectors: By excavation The properties of the unit vector are simply summarized as follows: Two unit vectors in the same direction are equal The length of the unit vector is equal to 1 namely So lets talk about how we can use these two special properties to solve mathematical problems One, two unit vectors in the same di