"End of Chapter Integration" Plane Vector Preliminary PPT

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"End of Chapter Integration" Plane Vector Preliminary PPT

Breakthroughs in question types, deepening and improvement

Example 1 As shown in the figure, in the trapezoid ABCD, AB∥CD, points M and N are the midpoints of DA and BC respectively, and DC/AB=k, let (AD)=e1, (AB)=e2, let e1, e2 represents the basis vectors (DC), (BC), (MN).

Methods and techniques Problem-solving strategies for linear operations on plane vectors

(1) In linear operations of plane vectors, attention should be paid to the application of the parallelogram rule and the triangle rule. According to the vector operation law, the linear operation between two vectors satisfies the operation rule of the product of real polynomials. The correct use of the operation properties of real numbers can simplify the vector Operations, such as (a±b)2=a2±2a·b+b2.

(2) Solve the problem using the basic theorem of plane vectors.

Variation training 1 is shown in the figure. In △ABC, (AQ) = (QC), (AR) =1/3 (AB), BQ and CR intersect at point I, and the extension line of AI intersects side BC at point P. .

(1) Use (AB) and (AC) to represent (BQ) and (CR) respectively;

(2) If (AI)=(AB)+λ(BQ)=(AC)+μ(CR), find the values ​​of real numbers λ and μ;

(3) Determine the position of point P on side BC.

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For more information about the PPT courseware "Preliminary End-of-Chapter Integration of Plane Vectors", please click the Preliminary End-of-Chapter Integration of Plane Vectors PPT tab.

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Update Time: 2024-09-17

This template belongs to Mathematics courseware People's Education High School Mathematics Edition B Compulsory Course 2 industry PPT template

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