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_第⒍2节 提取公因式法(In the 2 section _ extracting common factor method)
_第⒍2节 提取公因式法(In the 2 section _ extracting common factor method) Article 6 / section 2 common factor extraction method [teaching objectives] Factoring will be extracted from the common factor method Learn the rules of parenthesis [key points and difficulties] 1., teaching emphasis: correctly identify the common factor, and use the common factor method for factoring 2. teaching difficulties: Factoring of example 3 [teaching process] Review the concept of factoring Create situations and ask questions Look whos the fastest: 0.564 x 899+0.564 x 101=0.564 * (899+101) =564 In this process, the 0.564 for m, 899 for a, 101 for B, and =m Mamb: (a + b) (students are initially aware that factoring can make computing easy.) Two, observation, analysis, explore new knowledge (let students discover the characteristics of the polynomial and draw out the concept of the common factor.) The same factor contained in a polynomial is called the common factor of the polynomial. Note: the common factor is the common factor contained in every item in a polynomial. According to the definition of common factor, the following common factors are found Ax+ay-az, II, x2y+x3, 8x-12y, 4a2b+6ac (4) group discussion: let students sum up the relation between the common factor and the polynomial, and guide the induction from the index of coefficients, letters and letters Conclusion: 1: the common factor coefficient coefficient should be the greatest common divisor coefficient (when the coefficient is integer) The letter: the letter in the same letter take polynomial containing (3) index: the index of the same letter takes the smallest of each, that is, the lowest power Three consolidate the new knowledge through practice Indicate the common divisors of the following polynomials The 2x2y3+6x3 (2x2) (2) 3ax2y - 6ayz3+9ay2 (3ay); The 7x2-21x (7x) The 8a3b2-12ab3+ab (AB) The 7 (3-x) -x (3-x) (3-x) (1) (2) by the teacher analysis, the application of the conclusions just drawn, and the rest of the students c
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