Uchburchak tashqi burchagining xossasi
![“ Uchburchak tashqi
burchagining xossasi”
Tuzuvchi: Matematika o`qituvchisi Tairova
Lobar Asatillayevna Qibray tumani 3-umumta’lim maktabi
Toshkent 2017](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_1.png)
![Darsning maqsadi:
•
Ta’limiy: uchburchakning tashqi
burchaklari haqida tushuncha berish,
tashqi burchagining xossasi haqidagi
bilimlarni berish;
•
Tarbiyaviy:o`zaro hamkorlikda ishlab,
do`stona munosabatlarni shakllantirish;
•
Rivojlantiruvchi : o`quvchilarni mustaqil
ishlash, tez fikrlash , fikrini aniq
ifodalashga o`rgatish.](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_2.png)
![Atamalar:
•
Uchburchakning ichki va tashqi burchaklari
Tashkiliy qism
•
Sinf uch guruhga ajratiladi: Buning uchun
o`qivchilarga turli rangdagi,turli
o`lchamlarga ega bo`lgan uchburchak,
to`rtburchak va doirachalardan birini olish
taklif etiladi.
•
1-guruh:”Uchburchaklar”
•
2-guruh:”To`rtburchaklar”
•
3-guruh:”Doirachalar” deb nomlanadi.](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_3.png)
![Uy vazifasini tekshirish:
•
№ 13 Yechish: 180 0
: 3=60 0
x= (180 0
-120 0
):2=30 0
•
№ 14 9 0 0
: 2 = 45 0
, (180 0
- 45 0
):2= 67,5 0
•
№ 1 7 a) 9 0 0
- 25 0
= 65 0
b)](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_4.png)
![Takrorlash:
•
1- topshiriq. Kartochkalarni to`g`ri
joylashtirsangiz, geometriyadagi
qoidalardan biri chiqadi.
•
1-duruhga
uchburchak ichki burchaklarining
yig`indisi 180 0
ga teng
ichki yig`indisi
burchaklariningteng uchburchak180 0
ga](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_5.png)
![2-guruh
3-guruhIkki parallel to`g`ri chiziq va kesuvchi
hosil qilgan mos burchaklar o`zaro teng bo`ladi
Agar
almashinuvchi burchaklar o`zaro teng bo`lsa,
u holda mos burchaklar ham o`zaro teng
bo`ladi.burchaklar o`zaro](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_6.png)
![O`tilgan mavzularga doir
savollar:
•
1. Uchburchaklar tengligining nechta alomati bor?
•
2. Uchburchaklar tengligining alomatlarini ayting.
•
3. Ikki to`g`ri chiqni uchinchi chiziq bilan kesganda hosil
bo`lgan burchaklarni ayting.
•
4. Ikki paral lel to`g`ri chiziqlar va kesuvchi hosil qilgan
burchaklarning xossalarini ayting.
•
5. Uchburchak ichki burchaklarining yig`indisi haqidagi
teoremani ayting.
•
6. Qo`shni burchaklarning xossasini ayting.](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_7.png)
![Yangi mavzu bayoni:
•
Ta’rif: Uchburchak ichki burchagiga
qo`shni bo`lgan burchak uchburchakning
tashqi burchagi deyiladi.
A B
C D A B
C
E1 2
3 4
1 2
3
4](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_8.png)
![Geometrik tadqiqot
•
ABC uchburchakning hamma ichki va
tashqi burchaklarini o`lchang va quyidagi
burchaklar kattaliklarini solishtiring.](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_9.png)
![](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_10.png)
![U
ch
bu
rch
ak ta
shqi
bu
rchag
ining
xossasi
U
ch
bu
rchak
n
in
g tashq
i b
urch
agi o`ziga qo`sh
n
i
bo`lm
agan ich
ki b
urch
aklar yig`in
disiga teng](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_11.png)
![А В
С
Teorema:Uchburchakning tashqi burchagi o`ziga qo`shni
bo`lmagan ichki burchaklar yig`indisiga tengB A BCD D1 2
3
4 B A BCD ](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_12.png)
![Isbot:
Uchburchakning ichki burchaklarining
yig`indisi:
Qo`shni burchaklarning yig`indisi:
Bundan,
ya’ni
Teorema isbotlandi.](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_13.png)
![Mustahkamlash:
•
=? Yechish: № 5
a)](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_14.png)
![№ 5 b)](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_15.png)
![№ 5 c)](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_16.png)
![1.Qo`shni burchaklardan biri 45 0
bo`lsa,
ikkinchisini toping.
45 0
2.
a
b
3. Teng yonli uchburchakning bitta
burchagi 100 0
ga teng.
Qolgan burchaklarini toping.
4 . Uchburchakning tashqi burchaglaridan biri 100 0
ga teng.
Unga qo`shni bo`lgan ichki burchakni toping.
5. Uchburchakning tashqi burchaglaridan biri 130 0
ga teng.
Unga qo`shni bo`lmagan ichki burchaklarining yig`indisini
toping.
130 0 100 0
100 0 135 0
128 0
40 0
40 0
80 0](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_17.png)
![Mustaqil ish javoblari1-variant 2-variant
3-variant 4-variant
5-variant 6-variant](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_18.png)
![Uyga vazifa:
•
№ 7 ,8,9 (101-bet)](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_19.png)
![TARQATMALAR:](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_20.png)
![1.Qo`shni burchaklardan biri 45 0
bo`lsa,
ikkinchisini toping.
45 0
2.
a
b
3. Teng yonli uchburchakning bitta
burchagi 100 0
ga teng.
Qolgan burchaklarini toping.
4 . Uchburchakning tashqi burchaglaridan biri ga teng.
Unga qo`shni bo`lgan ichki burchakni toping.
5. Uchburchakning tashqi burchaglaridan biri 130 0
ga teng.
Unga qo`shni bo`lmagan ichki burchaklarining yig`indisini
toping.
130 0 100 0
100 0 100 0](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_21.png)
![U
c
h
b
u
rc
h
a
k
ta
sh
q
i
b
u
rc
h
a
g
in
in
g
xo
ssa
si](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_22.png)
![](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_23.png)
![Tayyorlanish uchun](/data/documents/c5402797-944c-410a-87b0-a32d21eac249/page_24.png)
“ Uchburchak tashqi burchagining xossasi” Tuzuvchi: Matematika o`qituvchisi Tairova Lobar Asatillayevna Qibray tumani 3-umumta’lim maktabi Toshkent 2017
Darsning maqsadi: • Ta’limiy: uchburchakning tashqi burchaklari haqida tushuncha berish, tashqi burchagining xossasi haqidagi bilimlarni berish; • Tarbiyaviy:o`zaro hamkorlikda ishlab, do`stona munosabatlarni shakllantirish; • Rivojlantiruvchi : o`quvchilarni mustaqil ishlash, tez fikrlash , fikrini aniq ifodalashga o`rgatish.
Atamalar: • Uchburchakning ichki va tashqi burchaklari Tashkiliy qism • Sinf uch guruhga ajratiladi: Buning uchun o`qivchilarga turli rangdagi,turli o`lchamlarga ega bo`lgan uchburchak, to`rtburchak va doirachalardan birini olish taklif etiladi. • 1-guruh:”Uchburchaklar” • 2-guruh:”To`rtburchaklar” • 3-guruh:”Doirachalar” deb nomlanadi.
Uy vazifasini tekshirish: • № 13 Yechish: 180 0 : 3=60 0 x= (180 0 -120 0 ):2=30 0 • № 14 9 0 0 : 2 = 45 0 , (180 0 - 45 0 ):2= 67,5 0 • № 1 7 a) 9 0 0 - 25 0 = 65 0 b)
Takrorlash: • 1- topshiriq. Kartochkalarni to`g`ri joylashtirsangiz, geometriyadagi qoidalardan biri chiqadi. • 1-duruhga uchburchak ichki burchaklarining yig`indisi 180 0 ga teng ichki yig`indisi burchaklariningteng uchburchak180 0 ga