Monomial: _ _ _ _ _ _ _ representing numbers or letters is called monomial. Especially a single number or letter is also a monomial.

Coefficient of single item: _ _ _ _ _ _ in single item is called the coefficient of this single item.

Number of times of a monomial: in a monomial, _ _ _ _ of the subscripts of all letters is called the number of times of the monomial, and the number of times of a single number can be regarded as _ _ _ _ _ times of the monomial.

Second, multiple choice questions

The coefficient and times of a single item are ()

A.- 1、3 B.3 C.3 D.2

The following statement is true ()

The index of A.a is 0, and the coefficient of b.a is 0.

C.(- 1) 20 15 is a monomial. D. is a monomial.

The following formula:-2x2, ax, 1+a, -b, 3+2a, in which the single item * * * has ().

A.2 B.4 C.6 D.8

Third, fill in the blanks

The coefficient of single -x is _ _ _ _ _ _ _ _, and the degree is _ _ _ _ _ _ _ _; The coefficient of the monomial-22x2y3z is _ _ _ _ _ _ _, and the degree is _ _ _ _ _.

Fourth, answer questions.

Judge whether the following items are monomials, and whether they are the writing coefficients and times of monomials:

( 1)x4； (2); (3)-5× 102 m2n 3； (4); (5)2a-3； (6).

Five, multiple choice questions

The following statement is true ()

A. the coefficient of a single item is, and the number of times is 2.

B.this is a quadratic item.

The coefficient of the c monomial 2a2b is 2, and the degree is also 2.

D. this is a quadratic item

Known-is a monomial about A and B, and | m |m|=2, then the coefficient of this monomial is ().

A. 1 c- 1d

In the following quantitative relations, the result expressed by the formula is a single item ().

The difference between the squares of A.a and b is the reciprocal of twice the sum of B.a and X.

C. the reciprocal of the number D.a, which is greater than the reciprocal of a 1 1.

Fill in the blanks

Write a quintic monomial with the letters X and Y: _ _ _ _ _ _.

Given that the degree of the monomial 6x8y is equal to the degree of the monomial-2xmy5, then m = _ _ _ _ _ _

If-mxny is a monomial about x and y, and the coefficient is 3 and the degree is 4, then Mn = _ _ _ _ _ _

Mail order a book, the price of each book is one yuan, plus 10% of the book price as the postage, and buy n books, the total amount is Y yuan, then Y = _ _ _ _ _ _ _ _ When n = 10.8 and n = 50, the value of Y is _ _ _ _ _.

Seven, answer questions

Fill in the form:

List monomials and indicate their coefficients and degrees:

(1) If the total number of students in a class is m and the number of girls is the number of boys, what is the number of boys in this class?

(2) If you sit M horizontally and N vertically, how many students are there in a class?

(3) When the speed of a car is x km/h, how many kilometers did the car travel in 40 minutes?

(4) The school bought a batch of books, a box of ***a, and each box contained B books, and donated half of these books to the community. How many books have been donated to the community?

(5) Find the area of a right triangle with a right side length xcm and another right side length 9cm.

If (m+2) x2m-2 (n+ 1) 2 is a quartic monomial about x, find the values of m and n and write this monomial.

Observe the following monomials: -x, 2x2,-3x3, …,- 19x 19, 20x20, ….

(1) Can you find their arrangement rules?

(2) Write 10 1 and 102 monomials according to the rules you found;

(3) Please write the nth monomial.