Integration with Split

Foreword

Integration and split high school mathematics a relatively common deformation techniques, but also a mathematical ability and mathematical literacy, mathematics is the sense of innovation and application of mathematics an outward manifestation of belonging to mathematical literacy, mathematics transformed by its very nature should draw owned by thought. Below to specific cases to illustrate this.

Bowen and mathematical skills for the third year high of four students to read better. High School students and a temporarily passing, do not force yourself.

Function and Equation

Zero such as when demand function, a function of the effective resolution.

References Function \ (y = 2 ^ x | log_ {0.5} x | -1 \) is the number of zeros is a __________.

Analysis: ideas and methods for solving a function of the number of zeros are three:

① equation solution method; ② Shuxingjiege method; ③ zero existence theorem method; The title ② suitable method;

Function defined by zero, we first \ (y = 0 \) into \ (X ^ 2 | X LOG_ {0.5} |. 1 = \) , so if too literally split mind, because the function of the right \ (y = 1 \) images do well, but the function of the left end \ (y = 2 ^ x | log_ {0.5} x | \) of the image, we do not substantially, so it needs to be re-converted, \ (| LOG_ {0.5} X | = \ cfrac {. 1} {2 ^ X} = (\ cfrac {. 1} {2}) ^ X \) , image functions such left and right ends, we can successfully make it a.

Composite function

Trigonometric functions

Separating parameters

The number of columns deformation

Research on the nature of the function