Several methods of function image in geometry artboard

With the development of the society, many places in modern teaching have multimedia teaching, which need some teaching software support, geometric drawing board is one of them. Some teachers often involve the drawing of function images in the process of using geometric artboards. As a result, many users are very interested in this tutorial. Here are some ways to share the function image in the geometry artboard?

First, direct method

Example 1 draws the image of the function Y=sinx on R.

Action steps: Click "Draw new Function" f (x) =sinx under the "Chart" menu.

Second, the trajectory method

Example 2 draws the image of the function y= (x^2) on the interval [ -2,3].

Operation Steps:

(1) Click "Draw Point" C ( -2,0), D (3,0) below the drawing menu to construct the segment CD;

(2) Select the Segment CD, click Point on line Segment on the Construction menu, construct point e;

(3) Select the point e, click on the "Measure" menu "horizontal axis" to point e of the horizontal xe;

(4) Click "Calculate" under the "Data" menu to calculate the Y value;

(5) Select Xe, y value, click Draw (x, y) under the Drawing menu, get the F;

(6) With the point E and F selected, click "Trajectory" under the "construct" menu to get the image of the function in the interval [ -2,3].

Three, the parameter method

Example 3 draws an image of the function y=-x2+2x+3 two times.

Operation Steps:

(1) Click "New Parameter" under "Data" menu a=-1,b=2,c=3;

(2) Click Draw New Function under the Drawing menu f (x) = =-x2+2x+3.

Changing the values of the parameters a, B, C (can be selected after pressing the "+" or "-" key), you can dynamically explore and discover the opening direction of the parabolic, vertex coordinates and symmetry axis change process.

Iv. Auxiliary Function method

Example 4 draws the image of the following function.

Operation Steps:

(1) Click "New Function" f (x) =sinx,g (x) =cosx under "Data" menu;

(2) Click Draw New Function under the drawing menu.

V. Transformation method

A translation is a vector, and for the translation of a function image, it is simpler to take a "marker vector".

Example 5 plots the function image that is the same as the example 2 image, and the position can be arbitrarily changed.

Operation Steps:

(1) using the trajectory method to draw an image of Example 2 (same example 2);

(2) Use "point tool" to make two points a, B;

(3) Select the point A, B, click on the "Transform" menu "Mark Vector";

(4) Select the point F, click "Translate" under "Transform" menu, select "Mark" option, get f ';

(5) Select the point e and F ', click on the "Construction" menu "trajectory" to get the original function image by the vector translation of the image (5).

Note: Drag the point A or point B, you can move the image by vector ab arbitrary translation.

Look at the above geometry of the function of the artboard in the image of several methods have not been tempted to, is not the sense of geometry of the tool is really very powerful, can save a lot of time on the blackboard to draw on the blackboard can not be done out of the presentation of the results of the board to make up for the blackboard-style teaching shortcomings.

Several methods of function image in geometry artboard