Su Jiaoban inverse proportional function eighth grade volume, quadratic function ninth grade volume.
The quadratic function of PEP is the first volume of grade nine, and the inverse proportional function is the second volume of grade nine.
The basic expression of quadratic function is y=ax? +bx+c(a≠0). The highest degree of a quadratic function must be quadratic, and the image of a quadratic function is a parabola whose symmetry axis is parallel or coincident with the Y axis.
The inverse proportional function image belongs to a hyperbola with the origin as the symmetry center, and each curve in each quadrant in the inverse proportional function image will be infinitely close to the X axis and the Y axis but will not intersect with the coordinate axis (y≠0).
Extended data:
history
Around 480 BC, Babylonians and China had found the positive root of quadratic equation by collocation method, but did not put forward the general solution. Around 300 BC, Euclid proposed a more abstract geometric method to solve quadratic equations.
In the 7th century, Brahmagupta of India was the first person who knew how to use algebraic equations, which allowed positive and negative roots.
In 1 1 century, Elazemi of Arabia independently developed a set of formulas for finding positive solutions of equations. Abraham Bachirat (also known as Savosoda in Latin) introduced the complete solution of the quadratic equation of one variable to Europe for the first time in his book Liber embadorum.
It is said that Schridde Haller was one of the first mathematicians to give the general solution of quadratic equation. But this was controversial in his time. The solution rule is: both sides of the equation are multiplied by the coefficient of unknown quadratic term four times at the same time; At the same time, the square of the coefficient of the unknown term is added to both sides of the equation; Then open the second square on both sides of the equation at the same time (quoted from Poshgaro II).
Baidu Encyclopedia-Quadratic Function
Baidu Encyclopedia-Inverse Proportional Function