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Similar PPT courseware for the graphics "Proportional Line Segment"
Congruent shapes refer to two shapes that can completely overlap, that is, their shapes and sizes are exactly the same.
What characteristics do these graphics have in common?
They have the same shape and different sizes, but the lengths of the line segments are proportional.
Discuss
Do you think the ratio of the lengths of two line segments has anything to do with the length unit used?
The ratio of the lengths of the two line segments has nothing to do with the length unit used. But the same length unit must be used.
If you choose a unit of length to measure the lengths of two line segments AB and CD, they are m and n respectively. Then the ratio of these two line segments is AB:CD=m:n, or written as AB/CD=m/n
The line segments AB and CD are respectively called the anterior and posterior terms of this line segment ratio.
How to understand the ratio of two line segments?
1. The ratio of two line segments is the ratio of lengths, which has no unit;
2. The ratio of two line segments is in order;
3. The ratio of two line segments has nothing to do with the selected length unit;
4. When finding the ratio of two line segments, if the units are different, they must be converted into the same unit first, and then their ratio can be found.
Determine whether the following line segments are proportional line segments:
(1) a=2cm, b=4cm, c=3m, d=6m;
(2) a=0.8, b=3, c=1, d=2.4.
golden section
More than two thousand years ago, the ancient Greek mathematician Eudoxus discovered:
Divide a line segment (AB) into two large and small line segments (AP, PB). If the ratio of the length of the small segment to the large segment is equal to the ratio of the length of the large segment to the full length, that is, PB:AP=AP:AB, then we can get This ratio is equal to 0.618…. This division is called the golden section, and point P is called the golden section point of line segment AB.
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"Proportional Line Segment" Similarity PPT courseware of graphics 2 Explore new knowledge Calculation: (1) The ratio of -3 to 2; (2) The ratio of 6 to -4. Are their ratios equal? Like this, if the ratio of two numbers is equal to the ratio of two other numbers, then we say that the four numbers are proportional. ..