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Category | Format | Size |
---|---|---|
Hebei Education Edition Ninth Grade Mathematics Volume 1 | pptx | 6 MB |
Description
"Parallel lines are proportional to their segments" PPT courseware
1. When two straight lines are intercepted by a set of parallel lines, the corresponding line segments intercepted are _________.
2. If a straight line parallel to one side of a triangle cuts the other two sides (or the extension lines of both sides), the corresponding line segment obtained is _________.
3. A straight line parallel to one side of a triangle and intersecting the other two sides, the corresponding side of the triangle intercepted by the original triangle ______.
1. (4 points) As shown in the figure, AB∥CD∥EF, then the following conclusion is correct ()
A.AD/DF=BC/CE B.BC/CE=DF/AD
C.CD/EF=BC/BE D.CD/EF=AD/AF
2. (4 points) In △ABC, D and E are points on AB and AC respectively, and DE∥BC, then which of the following conclusions is incorrect ()
A.AD/DB=AE/EC B.AB/DB=AC/EC
C.AD/AB=AE/AC D.AD/DB=AC/BC
3. (4 points) As shown in the figure, it is known that straight lines a∥b∥c, straight lines m, n intersect with a, b, and c respectively at points A, C, E, B, D, F, AC=4, CE=6, BD=3, then BF=()
A. 7
B. 7.5
C. 8
D. 8.5
【Integrated use】
14. (20 points) As shown in the figure, AC∥EF∥BD.
(1) Verify: AE/AD+BE/BC=1;
(2) Verify: 1/AC+1/BD=1/EF;
(3) If AC=3, EF=2. Find the value of BD.
14.(1)∵EF∥BD, ∴AE/AD=AF/AB, and ∵EF∥AC,
∴BE/BC=BF/AB,∴AE/AD+BE/BC=AF/AB+BF/AB=AB/AB=1
(2)∵EF∥AC, ∴EF/AC=BF/AB, and EF∥BD,
∴EF/BD=AF/AB, ∴EF/AC+EF/BD=BF+AF/AB=1,
∴1/AC+1/BD=1/EF
(3) From (2), we can get BD=6
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For more information about the PPT courseware "Parallel Lines Divide Line Segments into Proportions", please click the Parallel Lines Divide Line Segments into Proportions ppt tag.
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Update Time: 2024-09-08
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