最新七年级上册数学复习资料(Review+the+data+of+seven+grade+math)优秀名师资料.doc
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1、七年级上册数学复习资料(Review the data of seven grade math)七年级上册数学复习资料(Review the data of seven grade math) Book One The first chapter is rational number 1.1 positive and negative numbers The number of the previous 0 than previously learned plus minus - the number is negative. The number 0 before is called a p
2、ositive number. Number 0 is neither positive nor negative, and 0 is the boundary between positive and negative numbers. In the same question, the quantity expressed in positive and negative numbers has the opposite meaning 1.2 rational number 1.2.1 rational number Positive integers, 0 and negative i
3、ntegers are called integers. Positive and negative fractions are called integers. Integers and fractions are called rational numbers. 1.2.2 axis The provisions of the origin, is straight direction, unit length is called axis. The axis of the role: all rational numbers can be used to express the poin
4、ts on the axis. Note: the origin, the axis of the positive direction, the unit length of three elements are indispensable. The same axis cannot change per unit length. In general, is a positive number, then the axis said a point at the origin of the right, and the distance from the origin is a per u
5、nit length; alpha indicates the number of points in the origin of the left, and the distance from the origin is a unit of length a. 1.2.3 opposite number Only two numbers with different symbols are called opposite numbers. Said the two opposite number origin symmetric axis. Add the - number at the f
6、ront of any number, and the new number means the inverse of the original number. 1.2.4 absolute value In general, the axis represents the number of a points and the distance from the origin is called the absolute value of A. The absolute value of a positive number is itself; the absolute value of a
7、negative is the opposite of it; the absolute value of 0 is 0. Said the rational number in the axis, they order from left to right, is the order from small to large, that is less than the number to the left of the right number. Comparison of the size of a rational number: a positive number is greater
8、 than 0, greater than 0 negative, positive than negative. The two negative, absolute value is large but small. 1.3 addition and subtraction of rational numbers Addition of 1.3.1 rational numbers The law of addition of rational numbers: The same number of adding two numbers for the same symbol, and t
9、he sum of absolute value. The absolute value of difference is not equal to the sum of the hungry, the larger addend symbol absolute value, and the absolute value of the absolute value minus the smaller the larger. The two numbers of reciprocal numbers add up to 0. According to a number of the same 0
10、 together, still have this number. The sum of two numbers, exchange addend position, and invariant. Commutative law of addition: a + B = Ba Add three numbers, add the first two numbers, or add the first two numbers, and keep the same. With the addition of law: (a + b) = a + C (Bc) Subtraction of 1.3
11、.2 rational numbers The subtraction of a rational number can be converted to addition. Subtraction rule of rational number: Subtracting a number is equal to the inverse of the number. Ab = (a + b) 1.4 rational number multiplication and division Multiplication of 1.4.1 rational numbers Multiplication
12、 rule of rational number: The multiplication, the same number of positive, negative difference, and the absolute value of multiplication. Any number multiplied by 0 must be 0. The product is 1, and the two numbers are reciprocal. When several numbers are not multiplied by 0, the number of negative f
13、actors is even, the product is positive; the number of negative factors is odd, and the product is negative. The multiplication of two numbers; the location of the exchange factor; the product is equal. AB = Ba Multiplication of three numbers, Multiply the first two numbers, or multiply the first tw
14、o numbers, and then equal the product. (AB) C = a (BC) The multiplication of a number with the sum of two numbers, equal to multiplying the number with the two numbers, and then adding the product. A (Bc) = Abac Writing standards for multiplying numbers and letters: The letters and numbers multiplic
15、ation, multiplication to omit, or use The letters and numbers multiplied when the coefficient is 1 or 1, 1 to omit. The band scores and letters should be multiplied with scores into a fraction. Represented by the letter X to an arbitrary rational number, the product of 2 and X 2x as the product of 3
16、 and X 3x as 2x + 3x is formula is 2x with 3x and 2x, and 3x called the formula, 2 and 3 respectively with coefficients of two items. In general, the merger with the same letter factor formula, only the coefficients of them with the results, as the coefficient, and then take the letters factor, i.e.
17、 Axbx = (a + b) x In the upper case, X is the letter factor, and a and B are the coefficients of the two ax and BX, respectively. Rule of parenthesis: Brackets are +, remove parentheses and brackets before +, and no changes in parentheses. The brackets are -, remove the brackets and the before brack
18、ets, and change the symbols in brackets. Factor in the brackets is positive to the parentheses formula symbols and parentheses. The corresponding original symbol of the same factor; the brackets is negative to the parentheses formula symbols and parentheses. The original corresponding opposite signs
19、. Division of 1.4.2 rational numbers Division of rational numbers: Divided by a number that is not equal to 0 is equal to the reciprocal of the number. A / b = a (b = 0) The number was divided, with different numbers, negative, and the absolute values. 0 divided by any number that does not equal 0 w
20、ill be 0. Because division of rational numbers can be reduced to multiplication, the operation of multiplication can be used to simplify operations. And mixed operations are often the first division into multiplication, and then determine the product symbol, and finally obtained the results. The rat
21、ional number 1.5 1.5.1 power N for the same factor of product operation, called power, the power is called power. In an, a is called the base, called the n index, when an as a times n results, also can be read as n power a. The odd powers of negative numbers are negative numbers, and even powers of
22、negative numbers are positive numbers. Any positive power of a positive number is a positive number, and any positive integer of 0 is 0. The order of operations of rational number mixed operations: The first and last addition and subtraction multiplication and division, involution; The same operatio
23、n, from left to right; If the first parentheses, brackets for operations, followed by parentheses, brackets and braces 1.5.2 scientific notation A number greater than 10 is represented in the form of a * 10N (where a is an integer digit, only one bit number, n is a positive integer), and scientific
24、notation is used. A n bit integer is represented by scientific notation, 10 of which is n - 1. 1.5.3 approximate numbers and valid numbers Close to the actual number, but the difference from the actual number is called the approximate number. The accuracy of an approximate number of five homes to wh
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