According to the nature of the axisymmetric figure, first find the corresponding points of each protruding point in the left figure, and then connect the points in turn to draw the other half of the figure, making it an axisymmetric figure. Through the exploration process of drawing the other half according to the half of the symmetrical figure on the grid paper, I mastered the drawing method of drawing the other half according to the half of the symmetrical figure on the grid paper.
Further understand the characteristics of axisymmetric graphics. Through mathematical activities such as imagination and painting, students can develop their spatial concept and experience the role of corresponding thinking in graphic congruence transformation. Cultivate students' study habits such as willingness to think independently, cooperation and communication, reflection and questioning, and orderly expression.
Students gradually learn to look at the rich graphic world from a mathematical perspective, experience the widespread existence of axisymmetric graphics in real life, and feel the cultural and aesthetic value of mathematics.
If a plane figure is folded along a straight line, and the parts on both sides of the straight line can overlap each other, then the figure is called an axisymmetric figure, and this straight line is called an axis of symmetry. As long as the oblique figure can be folded along a straight line and the figures on both sides of the straight line can overlap each other, it is an axisymmetric figure. Draw a line in the middle of an axisymmetric figure, which is called the axis of symmetry.
In the eleventh volume of the old textbook of People's Education Press, it is pointed out that "if a graph is folded in half along a straight line, the graphs on both sides can completely overlap, and this graph is axisymmetric". Su Jiaoban pointed out: If a figure is folded in half along a straight line, the parts on both sides of the crease completely overlap after folding, then such a figure is called an axisymmetric figure.
The picture of the comb is also an axisymmetric figure. As long as the oblique figure can be folded along a straight line and the figures on both sides of the straight line can overlap each other, it is an axisymmetric figure. Draw a line in the middle of an axisymmetric figure, which is called the axis of symmetry. Fold a graph along a straight line.
If it can overlap with another figure, then it is said that the two figures are symmetrical about this line, which is called the symmetry axis, and the point where they overlap after folding is the corresponding point, which is called the symmetry point. Axisymmetric graphics and axisymmetric graphics have the same characteristics, and the corresponding points have the same distance from the axis of symmetry.