Geometrik masalalarni yechish bosqichlari
![Geometrik masalalarni
yechish bosqichlari](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_1.png)
![1-bosqich. Masalani t ushunish.
Bu bosqichda masalaning shart i v a xulosasi alohida
ajrat ib olinadi. N imalar berilgan, nimani t opish,
isbot lash y ok i y asash lozimligi aniqlanadi. Masalaga
oid chizma chiziladi. Chizmaning k at t a v a aniq bo’lishi
maqsadga muv ofi q. Berilgan barcha ma’lumot lar
chizmada belgilanadi.Odat da geomet rik masalalarni y echishni
t o’rt t a bosqichda bajarish mumk in:](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_2.png)
![2-bosqich. Rejalasht irish.
Bu bosqichda masalani y echish usuli t anlanadi.
Uni
Qo’llash uchun qanday qo4shimcha ma’lumot lar
zarurligi aniqlanadi. Yordamchi
shak llar chiziladi.](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_3.png)
![3-bosqich.Yechish.
Bu bosqichda masala berilgan reja asosida
y echiladi](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_4.png)
![4-bosqich. Tek shirish.
Bu bosqichda masalaning t opilgan y echimi
bev osit a
t ek shiriladi. Yechish jaray oniga t anqidiy
nazar t ashlanadi. Agar xat o aniqlansa, u
t uzat iladi. Tuzat ishning imk oni bo4lmasa,
masalani y echishning boshlang’ich
bosqichiga qay t iladi v a hamma ish
qay t adan boshlanadi](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_5.png)
![Bu bosqichda masala berilgan reja asosida
y echiladiMasalaga oid chizmani t o’g’ri chiza olish
v a qo’shimcha chiziqlarni t opa olish
masalaning y armini y echish demak dir](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_6.png)
![4-bosqich. Tek shirish.
Bu bosqichda masalaning t opilgan y echimi
bev osit a
t ek shiriladi. Yechish jaray oniga t anqidiy
nazar t ashlanadi. Agar xat o aniqlansa, u
t uzat iladi. Tuzat ishning imk oni bo4lmasa,
masalani y echishning boshlang’ich
bosqichiga qay t iladi v a hamma ish
qay t adan boshlanadi](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_7.png)
![1. hisoblashga doir masalalar;
2. isbot lashga doir masalalar;
3. y asashga doir masalalar.Geomet rik masalalar qo’y ilishi v a
mohiy at iga qarab uch xil t urda bo’ladi:](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_8.png)
![Masala. Teng t omonli uchburchak berilgan.
Tomonlarining o’rt alari k esmalar bilan
t ut asht irilsa, ular y ana t eng t omonli uchburchak
hosil qilishini isbot lang.
1. Masalani t ushunish bosqichi.
ABC - teng tomonli, K – AB tomon
o’rtasi,
N - BC tomon o’rtasi, L – AC tomon
o’rtasi KNL -teng
tomonli](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_9.png)
![Chizmada bel-gilangan teng
kesmalar va i burchaklar
uchburchaklar tengligining TBT
alomatidan foydalanishga
ishora qilmoqda.2.Rejalasht irish bosqichi Chizmasini chizib olindi](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_10.png)
![3. Yechish bosqichi. Shartga ko’ra,
LA=AK=KB=BN=NC=CL va
<A=<B=<C=. Unda LAK uchburchakning
AL, AK tomonlari va A burchagi mos
ravishda
KBN uchburchakning BK, BN tomonlari va
<B
burchagiga hamda NCL ning CN, CL
tomonlari
va C burchagiga teng.
Demak, LAK= KBN= NCL. U holda bu
uchburchaklarning uchinchi tomonlari
ham o’zaro
teng bo’ladi: KL=KN=NL.
Shunday qilib, KNL-teng tomonli.
.](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_11.png)
![4. Tahlil bosqichi](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_12.png)
![23-bet, 7-masala.
AB nurda C nuqta, BA nurda D nuqta shunday olinganki, AC
= 0,7 va
BD = 2,1. Agar AB = 1,5 bo’lsa, CD ni toping
A C
B D](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_13.png)
![45-bet, 5-masala
<AOB=, < С OB= bo’lsa, AOB va С OB burchaklarning
bissektrisalari orasidagi burchakni toping.](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_14.png)
![А
ВСПостроени е у гла, равного данном у.
Ber-n : А burchak .
Bir xil burchak yasash
О
D E Ko’rsatish](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_15.png)
![b is s e k tris aBurchak bissek t risasi Ko’rsatish](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_16.png)
![A F
B
C M
O <FOM-?](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_17.png)
![72-bet, 7-masala.](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_18.png)
![13. ABCuchburchak ichida Dnuqta olingan. Agar
AC=AB, CD=BD va <BDA= bo’lsa, <ADCni toping.](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_19.png)
![4. Tahlil bosqichi](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_20.png)
![72-bet, 7-masala.
6.85-bet, 6-masala.
7.93-bet, 8-masala.
8.93-bet, 9-masala.
9.117-bet, 5-masala.
10.118-bet, 10-masala.
11.138-bet, 8-masala.](/data/documents/bd17e95a-4393-4e6d-a407-08c19dfa724b/page_21.png)
Geometrik masalalarni yechish bosqichlari
1-bosqich. Masalani t ushunish. Bu bosqichda masalaning shart i v a xulosasi alohida ajrat ib olinadi. N imalar berilgan, nimani t opish, isbot lash y ok i y asash lozimligi aniqlanadi. Masalaga oid chizma chiziladi. Chizmaning k at t a v a aniq bo’lishi maqsadga muv ofi q. Berilgan barcha ma’lumot lar chizmada belgilanadi.Odat da geomet rik masalalarni y echishni t o’rt t a bosqichda bajarish mumk in:
2-bosqich. Rejalasht irish. Bu bosqichda masalani y echish usuli t anlanadi. Uni Qo’llash uchun qanday qo4shimcha ma’lumot lar zarurligi aniqlanadi. Yordamchi shak llar chiziladi.
3-bosqich.Yechish. Bu bosqichda masala berilgan reja asosida y echiladi
4-bosqich. Tek shirish. Bu bosqichda masalaning t opilgan y echimi bev osit a t ek shiriladi. Yechish jaray oniga t anqidiy nazar t ashlanadi. Agar xat o aniqlansa, u t uzat iladi. Tuzat ishning imk oni bo4lmasa, masalani y echishning boshlang’ich bosqichiga qay t iladi v a hamma ish qay t adan boshlanadi