1.
Các phép biến hình đã học
Phép tịnh tiến
𝑇
𝑣
Phép đối xứng trục
Đ𝑑
Phép đối xứng tâm
Đ𝐼
Phép quay
𝑄 𝐼;𝛼

2.
𝑇
𝑣
Đ𝑑
Đ𝐼
𝑄 𝐼;𝛼
Bảo toàn khoảng cách hai điểm bất
kì.
Biến đường thẳng thành đường
thẳng, tam giác thành tam giác bằng
nó, đường tròn thành đường tròn có
cùng bán kính.
Các phép biến hình đã học

3.
§6: Khái niệm về phép dời hình
và hai hình bằng nhau

4.
I. Khái niệm về phép dời hình
1. Định nghĩa
Phép dời hình là phép biến hình bảo toàn khoảng cách
giữa hai điểm bất kì.
Nếu phép dời hình 𝐹
𝐹 𝑀 = 𝑀′
𝐹 𝑁 = 𝑁′
𝑀′𝑁′ = 𝑀𝑁

5.
Nhận xét
1. Các phép đồng nhất, tịnh tiến, phép đối xứng trục, phép
đối xứng tâm và phép quay là phép dời hình.

6.
𝑑
𝑣
𝐴 𝐵
𝐴’ 𝐵’ 𝐴’’ 𝐵’’

7.
Nhận xét
1. Các phép đồng nhất, tịnh tiến, phép đối xứng trục, phép
đối xứng tâm và phép quay là phép dời hình.
2. Phép biến hình có được bằng cách thực hiện liên tiếp hai
phép dời hình cũng là một phép dời hình.

8.
Ví dụ 1: Cho hình vuông
ABCD, gọi O là giao điểm
của AC và BD. Tìm ảnh
của các điểm A, B, O qua
phép dời hình có được bằng
cách thực hiện liên tiếp
phép quay tâm O góc 90°
và phép đối xứng qua
đường thẳng BD.

9.
Ta có:
𝑄 𝑂;90° 𝑂 = 𝑂 ⇒ Đ𝐵𝐷 𝑂 = 𝑂
𝑄 𝑂;90° 𝐴 = 𝐷 ⇒ Đ𝐵𝐷 𝐷 = 𝐷
𝑄 𝑂;90° 𝐵 = 𝐴 ⇒ Đ𝐵𝐷 𝐴 = 𝐶
Giải:
Vậy ảnh của O, A, B qua phép dời hình được thực hiện liên
tiếp phép quay tâm O góc 90° và phép đối xứng qua đường
thẳng BD là O, D, C.

10.
Ví dụ 2: Tìm ảnh của tam giác ABC bằng cách thực hiện
liên tiếp phép quay tâm B góc 90° và phép tịnh tiến theo
vectơ
𝑣
=
𝐵𝐶

11.
NAME OF THE
SECTION
You could enter a
subtitle here if you need
it
01

12.
Ví dụ 3: Cho 3 điểm A, B, C thẳng hàng. Thực hiện phép
dời hình lên 3 điểm, điểm B’ sẽ như thế nào đối với điểm
A’ và C’?

13.
Gọi F là phép dời hình
𝐹 𝐴 = 𝐴′
𝐹 𝐵 = 𝐵′
𝐹 𝐶 = 𝐶′
⇒
𝐴′𝐵′ = 𝐴𝐵
𝐴′𝐶′ = 𝐴𝐶
𝐵′
𝐶′
= 𝐵𝐶
𝐴, 𝐵, 𝐶 thẳng hàng hay B nằm giữa A và C

14.
Table of Contents
You could describe the
topic of the section here
You could describe the
topic of the section here
You could describe the
topic of the section here
You could describe the
topic of the section here
Analysis Conclusion
Introduction Presentation

15.
You Could Use
Three Columns,
Why Not?
Jupiter
Saturn
Mars
Mars is a cold place. It’s
full of iron oxide dust,
which gives the planet its
reddish cast
It’s the biggest planet in
the Solar System and the
fourth-brightest object in
the sky
Yes, this is the ringed
one. It’s a gas giant,
composed mostly of
hydrogen and helium

16.
Maybe You Need to
Divide the Content
Mercury is the closest planet to the
Sun and the smallest one in the
Solar System—it’s only a bit larger
than the Moon
Venus has a beautiful name, is
the second planet from the Sun
and its atmosphere is extremely
poisonous
Mercury Venus

17.
A PICTURE IS
WORTH A
THOUSAND
WORDS

18.
You Could Use Four
Columns
Mercury is the closest
planet to the Sun
Venus has a beautiful
name, but it’s hot
Despite being red, Mars
is a cold place
Saturn is the ringed one
and a gas giant
Mars Saturn
Mercury Venus

19.
How About the Percentages?
Despite being
red, Mars is a
cold place
15%
Venus has a
beautiful name,
but it’s hot
45%
Mercury is the
closest planet to
the Sun
30%
Saturn is the
ringed one and a
gas giant
22%

20.
This Is a Graph
Venus has a
beautiful name,
but it’s hot
Saturn is the
ringed one and a
gas giant
Saturn
Venus
To modify this graph, click on it, follow the link,
change the data and paste the new graph here
Despite being
red, Mars is a
cold place
Mars

21.
Reviewing Concepts Is Usually a Good Idea
Mercury is the closest
planet to the Sun
Despite being red, Mars
is a cold place
It’s the biggest planet in
the Solar System
Neptune is the farthest
planet from the Sun
Venus has a beautiful
name, but it’s hot
Saturn is the ringed one
and a gas giant
Jupiter Neptune
Mercury Mars
Saturn
Venus

22.
Infographics Make Your Idea
Understandable…
2018
2016
2017
2019
Mercury
Venus
Saturn
Jupiter
A

23.
… And Tables Do the Same!
Mass
(Earths)
Diameter
(Earths)
Surface Gravity
(Earths)
Mercury 0.06 0.38 0.38
Mars 0.11 0.53 0.38
Saturn 95.2 9.4 1.16

24.
Venus has a
beautiful name, but
it’s terribly hot
Venus
This Is a Map

25.
A Timeline Always Works Well
Mercury is the
closest planet to
the Sun
Despite being red,
Mars is a cold
place
Jupiter is the
biggest planet of
them all
Venus has a
beautiful name,
but it’s hot
Saturn is the
ringed one and a
gas giant
2018
2016
2017 2019
2020

26.
Big numbers catch your audience’s
attention
4,498,300,000

27.
333,000.00
24h 37m 23s 386,000 km
earths is the Sun’s mass
is Jupiter’s rotation period is the distance between Earth
and the Moon

28.
03 02
Reinforce the Concept Using Infographics!
Venus is
terribly hot
VENUS
Mars is a
cold place
MARS
Jupiter is the
biggest planet
JUPITER
Earth
harbors life
EARTH
04 01

29.
Our Services
$60
You can explain
your product or
your service
Characteristic
Characteristic
$85
You can explain
your product or
your service
Characteristic
Characteristic
Pro Premium
Basic
$35
You can explain
your product or
your service
Characteristic
Characteristic

30.
You can replace the
image on the screen
with your own work.
Just delete this one,
add yours and center it
properly
Desktop
Software

31.
You can replace the
image on the screen
with your own work.
Just delete this one,
add yours and center it
properly
Mobile
Web

32.
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add yours and center it
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Tablet
App

33.
Our Team
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a picture of this person
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You can replace the
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Ann Smith
You can replace the
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a picture of this person
John Doe

34.
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