"Integral formulas" Integral formulas and their addition and subtraction PPT download

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"Integral formulas" Integral formulas and their addition and subtraction PPT download

Part One Content: Basic Knowledge Key Points

Knowledge point 1 Monomial

1. The following formula: ab/9,-2x,-7/3abc,2a-m,0.56,2ab/x, among which the monomial is (B)

A.3 B.4 C.5 D.6

2. Which of the following statements is correct (C)

A.-1 is not a monomial B.The degree of 2πr2 is 3

C. The degree of (x^2 y)/3 is 3 D. The coefficient of -xy/2 is -1

3. The coefficient of the monomial -(πx^2 y)/5 is -π/5; the degree is 3.

Knowledge point 2 Polynomial

4.The number of polynomials in the following algebraic expression is (C)

①a;②2x2+2xy+y2;③a+1;④a2-1/b;⑤-1/4•(x+y).

A.1 B.2 C.3 D.4

5. Among the following statements about polynomial 2a2b+ab-1, the correct one is (C)

A. The degree is 5 B. The coefficient of the quadratic term is 0

C. The highest order term is 2a2b D. The constant term is 1

Integrated PPT, the second part: comprehensive ability improvement

8. Among the following monomials, the one with the largest coefficient is (B)

A.-2ax3 B.-π/10xy2

C.-10/3abc3 D.-5/2xy2

9. Among the following statements, the correct one is (D)

A.0 is neither a monomial nor a polynomial

B.-x2yz is a fifth degree monomial, and the coefficient is -1

C. The constant term of 3x2-3+5xy2 is 3

D.Polynomials are integers

10. If the polynomial 4x2y|m|-(m-1)y2+1 is a cubic trinomial about x, y, then the constant m is equal to (A)

A.-1 B.1 C.±1 D.0

Integrated PPT, the third part: expansion, exploration and breakthrough

19. Observe the following monomials: -x, 3x2, -5x3, 7x4,…, -37x19, 39x20,…, and write the nth monomial. In order to solve this problem, the following problem-solving ideas are provided:

(1) The sign rule of the coefficients of this group of monomials is (-1)n (or negative signs and positive signs appear in sequence), and the absolute value rule of the coefficients is 2n-1 (or consecutive odd numbers starting from 1);

(2) The law of degree of this group of monomials is continuous natural numbers starting from 1;

(3) Based on the above induction, can you guess the nth monomial?

(4) Please write the 2018th and 2019th monomials based on your guess.

Solution: (3)(-1)n(2n-1)xn.

(4) Substituting n=2018 and n=2019 directly, you can get the 2018th and 2019th monomials respectively as 4035x2018 and -4037x2019.

Keywords: Free download of Beijing Normal University edition seventh-grade mathematics PPT courseware for the first volume, integer PPT download, integer and its addition and subtraction PPT download, .PPT format;

For more information about the PPT courseware "Integers and Their Addition and Subtraction of Integers", please click the Integers and Their Addition and Subtraction PPT Integer PPT tab.

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Update Time: 2024-07-02

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