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1、高一数学必修1总复习课件（High mathematics compulsory 1 total review courseware）高一数学必修1总复习课件(High mathematics compulsory 1 total review courseware) High mathematics compulsory 1 total review courseware Concept of function A, x1, X2, X3, x4, X5 B C Y1, Y2, Y3, Y4, Y5, y6 A.B is a collection of two non empty, A.B
2、is the two set of non empty and non empty set is two if in accordance with a corresponding rule f if in accordance with a corresponding rule set for F, A for A collection of each element in a collection of B x, in the B collection are only it should be on the elements of Y and Y elements, and its co
3、rresponding, this is referred to as a corresponding function from A to B from the corresponding A like. A function. The three elements of a function: defining domains, ranges, and corresponding laws The range of X that makes the function meaningful. The range of X that makes the function meaningful.
4、 Seek the primary basis for defining domains The denominator of the fraction is not zero. 1, the fractional denominator is not zero. Even the root of the radicand is not less than zero. 2, even the root of the radicand is not less than zero. Zero power base is not zero. 3, zero power base is not zer
5、o. The natural logarithm function really, the number 4 is greater than zero. The logarithmic function is greater than zero. The base of logarithmic is greater than zero and not as the base, 1.5 finger, logarithmic greater than zero and not for the domain of the function and practical problems in 1.6
6、 Monotonicity of function: If any for a certain interval in the domain of definition of the two if any for a certain interval in the domain of definition of the two arbitrary variable value x1, when the value of an independent variable x1, X2, when X1 X2, are then said f (x) in the f (x1 f (x2), the
7、n f (x) in this interval is an increasing function of increasing function. The interval is an increase function. If any for a certain interval in the domain of definition of the two if any for a certain interval in the domain of definition of the two arbitrary variable value of x1, X2, when x1f (x2)
8、, then f (x) in this interval is a decreasing function of decreasing function. Subtraction function. The parity definition of a function Prerequisite: defining domains that are symmetric about origin. Prerequisite: defining domains that are symmetric about origin. 1, odd functions f (-x) = = f (x),
9、or F (-x), +f (x) = 02, even function, f (-x) = f (x) or F (-x) - f (x) = 0 Image features of odd functions, two odd functions and even functions 1. The image of odd functions is symmetric about origin. The image of an odd function is symmetrical about the origin. 2, even function of the image, abou
10、t y axis symmetry. An image of an even function; of axis symmetry. Inverse scaling function K0 1, define domain, 2, range, K y= x (? - (0, 0), U + ) K0 1, defining domains, 2, ranges, 3, monotonicity, 4, images, Two A1 X (a 0, a = 1) 01 A X Where a 0 and a = 1 0a1 1, define domains, (0, H-infinity)
11、+ 2, range, R. +, + 3, monotonicity in (0, infinity) increments (0, K), y, 4, images, y O One X o One X In the same plane rectangular coordinate system, the power function y=x, y=x2, and the power function y=x3, y=x1/2 and y=x-1 images are given in the same plane Cartesian coordinate system: Propert
12、ies of power function Function property Y=xRR odd gain Y=x2R0, I 0, + +) ) increase (infty, minus 0 (1,1) Y=x3RR odd gain (1,1) Y=x 12 Y=x-1 x|x = 0 y|y = 0 (0 + - odd, minus (-) -, minus 0) (1,1) Definition domain, range, parity, monotonicity 0, + +, 0, + +) non singular non even growth (1,1) Commo
13、n point (1,1) in this paper, by the Qing Bao _ contribution Ppt documents may experience poor browsing on the WAP side. It is recommended that you first select TXT, or download the source file to the local view. I. knowledge structure Enumeration describing method of schema subset subset intersectio
14、n set Collective meaning and representation Inter set relation Set elementary operation aggregate Two examples and exercises 1. sets of A=1,0, x, and A, 1. sets A=1,0, x, and X2, A, x = set A=1,0, x,. -1 2. set 2. set M = 1, set N = y = x = 2, M y X - 12, M is a N (B) A M type: variant: | = y y = 2,
15、 x = R, N = x | y = 1 log 3 x X 1, 24 B1 C1, C1, 2 With D 3. 1,2 A 1,2,3,4 to meet the set A number 3. 1,2 1,2,3,4 meet the set of set A = a 3 4. sets of S, M, N, P as shown in Figure bardo is as shown in the figure, a collection of said D shadow is part of the set (said shadow is part of the () (A)
16、 M (N, P) a (B) M CS (N P) (C) M, CS (N P) (D) M CS (N, P) 5. sets A = x, x +, 4x = 0, B = x, x + 2 (a, +1), x +, a 1 = 0, set 222 For the real a x in R A if B = B, the range for the real a The new new new new new new stream stream stream stream stream stream stream stream stream of special King Kin
17、g King super tight raise tight raise tight raise Wang Wang Wang Wang special special tight raise new new new new new source source source source source source source source source source tetete TEUKI King Special king king king Texin tight raise W C M Wang ckt Wang x 1 O 2 6. A complete set of R, 6.
18、 complete, set A = x | 1 x 0, meet Find the range of the value range of the real number a. B, C = C, for obtaining the range of real numbers. 7. set 7. set A = x | 3 = x = a, B = y | y = 3 x + 10, x = A C = z | z = 5 x, x, A and B C, = C, asking for real numbers A range of. Range of values. Range of
19、 values Knowledge structure concept; three elements function; image property; exponential function; logarithmic function equation; number of Solutions application Size comparison Practical application of inequality solutions function Domain of definition range Monotonicity Parity image Inverse scali
20、ng function, two order function, exponential function, logarithmic function The review of function mainly takes two main lines, 1, the concept of function and its related properties. The concept of function and its properties. 2, the specific properties of several elementary functions. And the speci
21、fic properties of several elementary functions. Concept of function A X1 x2 X3 X4 X5 A.B is a collection of two non empty, A.B is the two set of non empty, if in accordance with the two non empty set of a corresponding rule f for A a corresponding rule F, for each element in the X set A set B each e
22、lement x there is only one y element and its corresponding elements in the set B, y and its corresponding, this correspondence is called a function from A to B. Should be called a function from A. B, C, Y1, Y2, Y3, Y4, Y5 The three elements of a function: defining domains, ranges, and corresponding
23、laws Y6 Inverse scaling function K0 1, domain definition, 2, range, K y= x K0 R. 1, domain definition, 24, AC, B 2, range, + + A1 1, domain definitions, 2, ranges, 3, images, y One Y = ax (a 0, a = 1) 011. Define domains, 2, ranges, 3, images, y A X Where a 0 and a = 1 0f (x2), so f (x) is a minus f
24、unction on this interval. Inverse scaling function K0 1, define domains, 2, ranges, 3, monotonicity, 4, images, K y= x K0 1. Domain definitions, 4ac, B 22, range, + + 4A A1 1, define domains, 2, ranges, 3, monotonicity, 4, images, Y = ax (a 0, a = 1) 01 1, define domains, 2, ranges, 3, monotonicity,
25、 4, images, A X Where a 0 and a = 1 Set for pedestrians to cross from pedestrians to cross from the solution set is defined as odd function on -1,1 00, and the odd function in the 3 cases, if f (x) is defined in is defined in the odd function and in the -1,1 is monotone is monotone increasing functi
26、on for the solution set of inequalities. Increasing function for inequality of F (x-1) +f (2x) solution set of solution set of 0 Image of function 1. Draw points by drawing. Draw with dots. 2, the image of a function of deformation. Deformation of an image of a function. (1) about the symmetry of th
27、e axis, Y axis and origin On the origin symmetry relation of X axis. (2) translation relations; Translational relation. Image of function. (1) the image of function. Y = loga (x) Y A1 a1 (2) y=loga (x+1); Y O One X O One X this paper is contributed by 337880006 Ppt documents may experience poor brow
28、sing on the WAP side. It is recommended that you first select TXT, or download the source file to the local view. I. knowledge structure Enumeration describing method of schema subset subset intersection set Collective meaning and representation Inter set relation Set elementary operation aggregate
29、Two examples and exercises 1. sets of A=1,0, x, and A, 1. sets A=1,0, x, and X2, A, x = set A=1,0, x,. -1 2. set 2. set M = 1, set N = y = x = 2, M y X - 12, M is a N (B) A M type: variant: | = y y = 2, x = R, N = x | y = 1 log 3 x? X 1, 24 B1 C1, C1, 2 With D 3. meet 1,2? A? 1,2,3,4 set A number 3.
30、 1,2 1,2,3,4 meet the set of set A = a 3 4. sets of S, M, N, P as shown in Figure bardo is as shown in the figure, a collection of said D shadow is part of the set (said shadow is part of the () (A) M (N, P) a (B) M CS (N P) (C) M, CS (N P) (D) M CS (N, P) Knowledge structure concept; three elements
31、 function; image property; exponential function; logarithmic function equation; number of Solutions application Size comparison Practical application of inequality solutions function Domain of definition range Monotonicity Parity image Inverse scaling function, two order function, exponential functi
32、on, logarithmic function The review of function mainly takes two main lines, 1, the concept of function and its related properties. The concept of function and its properties. 2, the specific properties of several elementary functions. And the specific properties of several elementary functions. Con
33、cept of function A X1 x2 X3 X4 X5 A.B is a collection of two non empty, A.B is the two set of non empty, if in accordance with the two non empty set of a corresponding rule f for A a corresponding rule F, for each element in the X set A set B each element x there is only one y element and its corres
34、ponding elements in the set B, y and its corresponding, this correspondence is called a function from A to B. Should be called a function from A. B, C, Y1, Y2, Y3, Y4, Y5 The three elements of a function: defining domains, ranges, and corresponding laws Y6 Inverse scaling function K0 1, domain defin
35、ition, 2, range, K y= x K0 R. 1, domain definition, 24 AC, B 2, value range + + H-infinity) A1 1, domain definitions, 2, ranges, 3, images, y One Y = ax (a 0, a = 1) 011. Define domains, 2, ranges, 3, images, y A X Where a 0 and a = 1 0f (x2), so f (x) is a minus function on this interval. Inverse s
36、caling function K0 1, define domains, 2, ranges, 3, monotonicity, 4, images, K y= x K0 1. Domain definitions, 4ac, B 22, range, + + 4A A1 1, define domains, 2, ranges, 3, monotonicity, 4, images, Y = ax (a 0, a = 1) 01 1, define domains, 2, ranges, 3, monotonicity, 4, images, A X Where a 0 and a = 1
37、 Set for pedestrians to cross from pedestrians to cross from the solution set is defined as odd function on -1,1 00, and the odd function in the 3 cases, if f (x) is defined in is defined in the odd function and in the -1,1 is monotone is monotone increasing function for the solution set of inequali
38、ties. Increasing function for inequality of F (x-1) +f (2x) solution set of solution set of 0 Image of function 1. Draw points by drawing. Draw with dots. 2, the image of a function of deformation. Deformation of an image of a function. (1) about the symmetry of the axis, Y axis and origin On the origin symmetry relation of X axis. (2) translation relations; Translational relation. Image of function. (1) the image of function. Y = loga (x) Y A1 a1 (2) y=loga (x+1); Y O One X O One X