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Цена 9000UZS
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Дата загрузки 13 Февраль 2025
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Предмет Алгебра

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Jumaniyozov Boburbek Umidbek o'g'li

Дата регистрации 10 Февраль 2025

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9-sinf algebra nazorat ishi 2025

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O‘zbekiston Respublikasi ________ viloyati _________ tumani Maktabgacha va Maktab ta’lim vazirligiga qarashli ____-sonli umumiy o‘rta maktabi 9 ≪ ≫ sinf o‘quvchisi ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– ning ALGEBRA va GEOMETRIYA fanlaridan nazorat ishi DAFTARI 1-nazorat ishi Sana ––––––––––––––––––––––––––––––––––– TEST 1. Tenglamani yeching. 2( x – 3 ) = 3( 2 - x) A) 32 5 B) 42 5 C) 33 5 D) 22 5 2. Hisoblang. 19 2+38 ⋅11 +11 2 19 2− 11 2 A) 3,6 B) 32 3 C) 36 8 D) 82 3 3. y =2x-1 funksiya grafigi qaysi chorakda yotadi? A) I, III, IV. B) I, II, IV. C) II, III, IV. D) II, III. 4. Tenglamalar sistemasini yeching. {х+у=7ҳ¿¿¿¿ A) x= 3; y= 4. B) x=-3; y=-4. C) x=2; y=5. D) x=6; y=1. 5. (x; y) sonlar juftligi { х 3 + у 2 =1¿¿¿¿ tenglamalar sistemasining yechimi bo’lsa, x 2 -y 2 ni aniqlang. A) 32 B) 33 C) 34 D) 35 6. Tengsizlikni yeching. 3z ¿ 2z+4 A) z ¿ 4 B) z ¿ -4 C) z ¿ 0 D) z ¿ 4 5 7. Hisoblang. ( √11 +√8 )( √11 − √8 ) A) 3 B) 4 C) 5 D) 6 8. Hisoblang. (√5− √45 )2− (√13 − √11 )⋅(√13 +√11 ) A) 15 B) 16 C) 17 D) 18 9. Ko’paytuvchilarga ajrating . ( 25 – a) A) (5-a)(5+a) B) ( √5−а )( √5+а ) C) (5− √а)(5+√а) D) (√5− √а)(√5+√а) 10. Kasrni qisqartiring. 0,49 −а √а+0,7 A) √а B) √а−7 C) 0,7- √а D) 0,7 OCHIQ TEST 11. Kasrni qisqartiring. х2− 3 х+√3 12. Ifodani soddalashtiring. 6 √3− √2 + 6 √3+√2 13. (x; y) sonlar juftligi {4х+3у=6ҳ¿¿¿¿ tenglamalar sistemasining yechimi bo’lsa, y-x ni aniqlang. 14. x ning qanday qiymatida y= 2 3x− 1 4 funksiyaning qiymati 1 ga teng bo’ladi 15. Kvadrat tenglamani yeching: x2−7x+10 =0 № 1 2 3 4 5 6 7 8 9 10 Javobi Tekshiris h № Javobi Tekshirish 11 12 13 14 15 1 To’g’ri javobi 2 Nato’g’ri javobi 3 Umummiy BALL Tekshirdi 2-nazorat ishi Sana ––––––––––––––––––––––––––––––––––– 1. Funksiyaning aniqlash sohasini toping; y=2|x| +1; 2. Kvadrat tengsizlikni yeching; − x2+3x+4>0 3. Parabola uchining koordinatalarini toping: y=x 2 +3x+5; 4. y=x 2 -2x+3 funksiyaning grafigini yasang; 5. Kvadrat funksiyaning ta’riflarini yozing Javoblari –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball Ball Tekshirdi 3-nazorat ishi Sana ––––––––––––––––––––––––––––––––––– 1. Tenglamaning musbat ildizini toping; 1) x 1 2 =3; 2) x 1 4 =2 3) x 5 6 =32 2. y = 3 √ x funksiyaning grafigini yasang. 3. Tenglamani yeching; √x2− 4x+9 = 2x-5 4. Funksiya juft ham, toq ham emasligini ko’rsating: y = x + 2 x − 3 5. Funksiyaning juftligi va toqligi ta’rif yozing va grafik orqali tushuntiring. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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savol Jami ball Ball Tekshirdi 4 -nazorat ishi Sana ––––––––––––––––––––––––––––––––––– 1. Tengsizlikni yeching: | x 2 − 6 x | < 27 2. Tenglama sistemasini yeching: { x + y = 10√ x + √ y = 4 3. Tenglama sistemasini yeching: { xy =5 x2+y2= 26 4. Viyet teoremasiga teskari teoremani qo’llab, tenglama sistemasini yeching: { x + y = − 10 xy = 21 5. Tenglama sistemasini yeching: { 1 x + 1 y = − 1 6 x − y = 5 –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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rad; 3) 3 π 4 rad gat eng burchakning gradus o’lchovini toping. 2. Burchakning radian o’lchovi xaqida nimalarni bilasiz. ( ta’rif, radian, gradus ) shular xaqida ma’lumot yozing. 3. Nuqtani koordinatalar boshi atrofida burish xaqida nima bilasiz. 4. Hisoblang; 1) sin π 2+sin 3π 2 ; 2) 3 sin π 6 + 2 cos π 6 − tan π 3 5. Sinus, Kosinus orqali Tangens va Katangens ishora va qiymatlarini keltirib chiqaring –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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Qo’shish formulasi yordamida hisoblang: sin 73 cos 17 + ¿ ¿ cos73+sin17; 2. Ayniyatni isbotlang; cos 2 α − sin 2 α sin α + sin ¿ ¿ ¿ 3. Agar; cos α =5 13 va 3π 2 <α<2πbo'lsa ,sinα va tgα ∋toping : 4. Soddalashtiring: 1−¿¿ 5. Trigonometrik xossalari va formula, qo’shish formulasini yozing: –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball Ball Tekshirdi 7-nazorat ishi Sana ––––––––––––––––––––––––––––––––––– 1. Hisoblang: cos105+cos75; 2. Ifodaning son qiymatini toping: cos630-sin1470-ctg1125; 3. Agar tg α = 1 2 b o ' lsa , tg 2 α ∋ hisoblang : 4. Keltirish formulasi bilan hisoblang: sin 13 2 π 5. Sinuslar yig’indisi va ayirmasi. Kosinuslar yig’indisi va ayirmasi formulasni yozing va tushuntiring. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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Arifmetik progressiyada: agar a 1 = 2, d = 3 bo’lsa, a 15 ni toping; 2. Geometrik progressiya dastlabki yeti hadining yig’indisini toping: 2, 6, 18, ………….. 3. Geometrik progressiyada: b 1 =3 va q=10 bo’lsa, b 4 ni hisoblang 4. 1 2 , − 1 6 , 1 18 , − 1 54 , …… cheksiz kamayuvchi geometric progressiya yig’indisini toping. 5. Geometrik progressiya xaqida nima bilasiz. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball Ball Tekshirdi GEOMETRIYA 1-nazorat ishi Sana ––––––––––––––––––––––––––––––––––– 1. Teng yonli uchburchakning perimetri 10 ga teng, yon tomoni asosidan 12 marta uzun. Uchburchakning asosi qanchaga teng? A) 0,4 B) 0,8 C) 0,5 D) 0,6 2. Uchburchak burchaklari 1:2:3 kabi nisbatda. Uchburchak katta tomonining kichik tomoniga nisbatini toping. A 1 B) 2 C) 3 D) 4 3.Trapetsiyaning kichik asosi 4 sm o`rta chiziq katta asosida 4 sm qisqa trapetsiyaning o`rta chizig`ini toping A) 6 B) 10 C) 8 D) 9 4. Burchaklari 900 ga teng bo`lgan romb ….. deyiladi A) uchburchak B) to`rtburchak C) kvadrat D) parallelogram 5. To’rtburchakning burchaklari o’zaro 3:5:4:6 nisbatda. To’rtburchakning kichik burchagini toping A) 80 B) 30 D) 60 E) 40 6. Qavariq to’rtburchakning diagonallari uni nechta uchburchakka ajratadi? A) 4 B) 5 D)6 E) 8 7. To’g’ri to’rtburchakning eni 5sm ga eng, bo’yi undan 7sm ga ortiq. To’g’ri to’rtburchakning perimetrini hisoblang. A) 32sm B) 34sm D) 24sm E) 26sm 8. To’g’ri burchakli uchburchakning katetlaridan biri 12 sm, gipotenuzasi esa ikkinchi katetdan 6 sm uzun. Gipotenuzaning uzunligini toping. A) 15sm B) 25sm D) 26sm E) 18sm 9. To’g’ri burchakli uchburchakning katetlaridan biri 12 sm, ikkinchisi esa gipotenuzadan 8 sm qisqa. Shu uchburchakning gipotenuzasini toping. A) 15sm B) 16sm D) 13sm E) 25sm. 10. To’g’ri burchakli uchburchakning gipotenuzasi 25 sm, katetlari o’zaro 3:4 nisbatda. Shu uchburchakning kichik katetini toping. A) 10sm B) 15sm D) 9sm E) 20sm 11. To’g’ri burchakli uchburchakda a va b – katetlar, c – gipotenuza. Agar: a=1,2 c=1,3 bo’lsa, b katetni toping 12. Rombning diagonallari 14 sm va 48 sm ga teng. Shu rombning perimertrini toping. 13. Trapetsiyaning asoslari 15sm va 30sm ga, yuzi 225 cm 2 ga teng. shu trapetsiyaning balandligini toping. 14. ⃗a (3;5) va ⃗b (2;7) vektorlar yig’indisini toping. 15. Agar: A(-3;8) B(5;2) bo’lsa, AB kesma uzunligini toping. № 1 2 3 4 5 6 7 8 9 10 Javobi Tekshiris h № Javobi Tekshirish 11 12 13 14 15 1 To’g’ri javobi 2 Nato’g’ri javobi 3 Umummiy BALL Tekshirdi 2-nazorat ishi Sana ––––––––––––––––––––––––––––––––––– 1. 1 6 3 x Rasmdagi ko’pburchaklarning o’xshashligi ma’lum bo’lsa, noma’lum uzunlikni toping. 2. AB va CD kesmalar O nuqtada kesishadi, AO=12 sm, BO=4 sm, CO=30 sm, DO=10 sm bo’lsa, AOC va BOD uchburchaklar yuzlari nisbatini toping. 3. ABC uchburchakning BD bissektrisasi uchburchakka tashqi chizilgan aylanani B va P nuqtalarda kesadi. ABP = BDC ekanligini isbotlang. 4. Ashrafning finjoni (qahva ichadigan idishi) balandligi 90 mm, asosining diametric 73 mm, ga eng. Qahvaga solingan shaker yoki sutni aralashtirish vaqtida Ashrafning qo’li kuymasligi uchun qoshiqchaning uzunligi kamida qancha bo’lishi kerak? 5. Geometrik almashtirishlar va o’xshashlik deganda nimami tushunasiz? –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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O (2; 4) nuqtaga nisbatan simmetriyada A (1; 2) nuqta qaysi nuqtaga o’tadi. 2. Perimertlari 18 sm va 24 sm bo’lgan ikkita o’xshash ko’pburchak yuzlarining nisbatini toping. 3. Uchburchaklarning o’xshashligidan foydalanib, uchburchak o’rta chizig’i uchburchakning bir tomoniga pararell va shu tomonning yarmiga teng ekanligini isbotlang. 4. To’g’ri burchakli uchburchakning katetlaridan biri 12 sm, gipotenuzasi esa ikkinchi katetdan 6 sm uzun. Gipotenuzaning uzunligini toping. 5. O’xshash ko’pburchak xossalarini tushuntiring. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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( Uchburchakni berilgan ikki tomoni va ular orasidagi burchagi bo’yicha yechish). Agar uchburchakda a=6, b=4 γ =120 bo’lsa, uning uchunchi tomon va qolgan burchaklarini toping. 2. Tomonlari a=5, b=6, c=10 bo’lgan uchburchakka tashqi chizilgan aylana radiusini toping. 3. ABC uchburchakda AB=6 sm, AC=7 sm, A burchak =60. BC tomonni toping 4. Aylanaga tashqi chizilgan to’rtburchakning yuzi 21sm 2 ga, perimetri esa 7 sm gat eng. Aylana radiusini toping. 5. Aylana uzunligi va doira, aylanaga chizilgan ko’pburchak haqida nimalar bilasiz. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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Tomoni 6 sm bo’lgan muntazam uchburchakka tashqi chizilgan aylana uzunligini toping. 2. Ikkita burchagi mos ravishda 30 va 45 bo’lgan uchburchak burchaklarining radian o’lchovlarini toping. 3. Sirk arenasi aylanasining uzunligi 41 m. Arena radiusi va yuzini toping. 4. Yoyning gradus o’lchovi 72 bo’lgan sektorning yuzi 45 π ga teng. Sektor radius toping 5. Aylana yoyi burchakning radian o’lchovi deganda nimani tushunasiz. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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Radiusi 6 sm bo’lgan aylananing O markazidan 4 sm uzoqlikda P nuqta olindi. P nuqta orqali AB vatar o’tkazildi. Agar AP = 2 sm bo’lsa, PB kesmani toping. 2. Katetlari 15 sm va 20 sm bo’lgan to’g’ri burchakli uchburchak kichik katetining gipotenuzadagi proyeksiyasini toping. 3. AB va CD kesmalar parallel to’g’ri chiziqlarda yotadi. Agar AB=12 sm, CD=15 sm va AB kesmaning biror m to’g’ri chiziqdagi proyeksiyasi 8 sm bo’lsa, CD kesmaning shu m to’g’ri chiziqdagi proyeksiyasini toping. 4. ABCD to’rtburchakning uchlarini markaz qilib bir xil radiusli sektorlar yasalgan. Bu sektorlardan ixtiyoriy ikkitasi umumiy nuqtaga ega emas hamda barchasining radiusi 1 sm. Sektorlar yuzlarining yig’indisini toping. 5. Kesmalar proyeksiyasi va proporsionallik xaqida nima bilasiz. –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– 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