"Simple Axisymmetric Figures" Axisymmetric PPT in Life (Lesson 2)

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"Simple Axisymmetric Figures" Axisymmetric PPT in Life (Lesson 2)

Part One: Learning Objectives

1. Experience the process of exploring the axial symmetry of simple figures, further understand the properties of axial symmetry, accumulate experience in mathematical activities, and develop spatial concepts.

2. Explore and understand the symmetry of line segments and their related properties.

Simple axisymmetric graphics PPT, part 2: classic examples

[Example 1] It is known that MN is the perpendicular bisector of line segment AB. The following statement is correct ()

A. The point equidistant from AB is on MN

B. Points that are equidistant from point A and point B are on MN

C. The point equidistant from MN is on AB

D. AB bisects MN perpendicularly

[Example 2] As shown in the figure, AD⊥BC, BD=DC, point C is on the vertical bisector of AE.

(1) What is the relationship between the lengths of AB, AC and CE?

(2)What is the relationship between AB+BD and DE?

[Example 3] As shown in the figure, in △ABC:

(1) The vertical bisector DE of side AB intersects with AB and BC at points D and E respectively (use a ruler and compass to make the drawing, retain the traces of the drawing, and no writing is required);

(2) Under the condition of (1), connect AE, if AC=8 cm, BC=10 cm, find the perimeter of △AEC.

Simple axisymmetric graphics PPT, the third part: Variation practice

1. Given line segment AB and point P, if PA=PB, then point P is on _________.

Answer: The perpendicular bisector of line segment AB

2. As shown in the figure, in △ABC, DE is the perpendicular bisector of side AB. It intersects AB at E, intersects AC at D, and connects BD. If ∠ABC=∠C, ∠A=40°, find the degree of ∠DBC .

3. As shown in the figure, it is known that isosceles triangle ABC, the perpendicular bisector of side AB intersects AC at point D, and intersects AB at point E, AB=AC=8, BC=6, find the perimeter of △BDC.

Simple axisymmetric graphics PPT, Part 4: Consolidation training

4. The ruler and compass in the figure are constructed as ()

A. Perpendicular bisector of line segment

B. A line segment is equal to a known line segment

C. An angle is equal to a known angle

D. A straight parallel line

5. As shown in the figure, AC=AD, BC=BD, then ()

A.CD bisects AD perpendicularly

B. AB bisects CD perpendicularly

C.CD divides ∠ACB equally

D. None of the above conclusions are correct

6. As shown in the figure, MN is the perpendicular bisector of line segment AB. Point C is outside the straight line MN and is on the same side of MN as point A. BC intersects MN at point P, then ()

A.BC>PC+AP

B.BC

C.BC=PC+AP

D.Unable to judge

Keywords: Free download of Beijing Normal University edition seventh-grade mathematics PPT courseware for the second volume, simple axial symmetry graphics PPT download, axial symmetry in life PPT download, .PPT format;

For more information about the PPT courseware "Axisymmetric in Life and Simple Axisymmetric Figures", please click on the Axisymmetric in Life PPT and Simple Axisymmetric Figures PPT tag.

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Update Time: 2024-10-05

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