Quadratic function is a mathematical model to describe the law of movement change in the objective world, and it is an important mathematical program based on change and correspondence.

Reading. Let students understand the interdependence between variables of quadratic function and clearly see several forms of quadratic function.

y=ax2

、

y=ax2

+k

、

y=

(

x

-

h

)

2

、

y=a

(

x

-

h

)

2+k

、

y=ax2+bx+c

Translation and symmetry between them,

It is necessary to provide students with a large number of image materials.

Let the students observe,

Analysis and comparison.

Of course, it is best to let them see it intuitively.

Look at several parameters in the function.

a

、

b

、

c

Or parameters

h

、

k

How does the graph change when it changes? Look at it moving.

And the corresponding relationship between variables in the process of change.

This was explained orally by the teacher.

It is difficult to achieve this goal by drawing on the blackboard.

The use of multimedia technology can help us do this.

Geometric sketchpad and

Z+Z

Educational platform can make abstract function problems intuitive and vivid, and change static into dynamic and dynamic performance.

Display the drawing process,

Dynamically demonstrate the change of function values with independent variables,

Help students understand the concept of function,

Images and attributes. How to effectively integrate information technology with mathematics teaching? How to connect the geometric sketchpad with

Z+Z

educational level

These new teaching tools are perfectly integrated into the teaching process of quadratic function? Let me briefly introduce how to draw with geometry.

Making quadratic function courseware with wooden boards;

I want to make courseware with geometry sketchpad, and there are three main goals:

1

And quickly make the quadratic function we want.

Image;

2

Dynamically demonstrate several forms of images of quadratic function to help students understand the images, properties and functions of quadratic function.

Translation and symmetry of two kinds of quadratic function images;

three

Dynamic demonstration of function value of quadratic function of independent variable

The changing scene helps students understand the monotonicity and extreme value of quadratic function.

Firstly, the geometric sketchpad is used as a quadratic function.

y=3x2

-

4x+ 1

Image of. This form of image is easier to use in several places.

Draw on the drawing board window. Teachers can improvise in class.

1

Establish a plane rectangular coordinate system. After entering the Geometry Sketchpad window, click the Edit window.

"

drawing

"

choose

"

show

Coordinate axis

"

At this point, you can see a coordinate axis appear on the window.

You pull

x

The sliding point on the positive semi-axis of the shaft,

You can change the size of the unit length.

2

Draw some. Click the Point Drawing Tool in the toolbar on the left side of the editing window.

, at

x

Click anywhere on the axis to click.

x

Make a point on the axis, such as a dot.

A

. If you want to change this point to another name, you can use the hand tool.

Double-click the letter

A

Enter the required letters in the dialog box that appears.

three

, measure the coordinates. Click the point.

A

, click the edit window.

"

Measurement and calculation

"

, select

"

coordinate

"

, you can see the editing window.

Point out in the upper left corner of the mouth.

A

Coordinates of

, for example

A(-2. 18，0.00)

four

、

Separate coordinates.

Release coordinate

A

The abscissa in is separated,

As a quadratic function

y=3x2

-

4x+ 1

Independent variable of

x

Double-click a point in the editing window.

A

Coordinates of

(-2. 18,0.00)

A calculator will appear,

Then click the calculator.

"

value

"

Then select a point.

A

In the drop-down menu

x

, and then press OK, that's all.

A

The abscissa of

XA=-2. 18

lone