• 22*. 19-rasmda tasvirlangan beshburchak burchaklari yig‘indisini toping. 23. 20-rasmdagi noma’lum burchaklarni toping. 24.
  • 12-rasmdagi noma’lum burchaklarni toping. 7




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    Geometriya 7 uzb 2022

    6.
    12-rasmdagi noma’lum burchaklarni toping.
    7. 
    13-rasmda 
    a||b. x 
    va
     y 
    ni toping.
    8. 
    14-rasmda

    1 = 

    2 ekanini isbotlang.
    9.
    15-rasmda 
    x+y
    ni toping.
    10*.
    Uchburchak burchaklari 
    α, β, γ
    uchun 
    α
    = (
    b
    +
    g
    ) /2 bo‘lsa, 
    α
    ni toping.
    11.
    Teng tomonli uchburchak burchaklarini toping.
    12.
    Teng yonli to‘g‘ri burchakli uchburchak burchaklarini toping.
    13.
    Agar teng yonli uchburchak burchaklaridan biri a) 50°; b) 60°; c) 105° bo‘lsa, uning 
    burchaklarini toping.
    14.
    Uchburchakning ikki tashqi burchagi 120° va 135° bo‘lsa, ichki burchaklarini toping.
    15.
    Uchburchakning ichki burchaklaridan biri 30° ga, tashqi burchaklaridan biri 60° ga 
    teng. Uchburchakning qolgan ichki burchaklarini toping.
    16.
    16-rasmlardagi noma’lum burchakni toping.
    17.
    17-rasmlardagi noma’lum burchakni toping.
    18.* 
    Uchburchak tashqi burchaklarining yig‘indisini hisoblang.
    19.
    Uchburchak ikkita ichki burchagining o‘lchovlari nisbati 5:9 kabi, uchinchi ichki burchagi
    shu burchaklarning kichigidan 10° ga kichik. Uchburchakning ichki burchaklarini toping.
    20.
    Agar 18-rasmlarda 
    a||b
     
    bo‘lsa

    x
     
    ni toping.
    21.
    Uchburchakning 108° li tashqi burchagiga qo‘shni bo‘lmagan ichki burchaklarining 
    a
    b
    20°
    50°
    x
    y
    1
    2
    a)
    x
    105°
    150°
    c)
    140°
    x
    b)
    102°
    x
    2
    x
    16
    12
    13
    14
    x
    15
    y


    129
    19
    α
    1
    α
    2
    α
    3
    α
    4
    α
    5
    2
    x
    5
    x
    3
    x
    120°
    20
    21
    A
    B
    C
    F
    E
    O
    D
    c)
    x
    140°
    a
    b
    30°
    a
    b
    x
    25°
    145°
    x
    α α
    x
    β
    β
    a
    b
    140°
    50°
    x
    a
    b
    a)
    b)
    d)
    nisbati 5:4 kabi. Shu ichki burchaklarini toping.
    22*. 
    19-rasmda tasvirlangan beshburchak burchaklari 
    yig‘indisini toping.
    23.
    20-rasmdagi noma’lum burchaklarni toping.
    24.
    Ikkita burchagi teng bo‘lgan uchburchakning teng 
    yonli ekanini ko‘rsating.
    25.
    Teng yonli uchburchakning bir burchagi: a) 120°;
    b) 70°. Uning qolgan burchaklarini toping.
    26.
    Teng yonli uchburchakning asosidagi burchaklaridan biri 
    a) 15°; b) 75° bo‘lsa, qolgan burchaklari nimaga teng?
    27.
    Ikki uchburchakning barcha mos tomonlari o‘zaro 
    parallel bo‘lsa, ularning mos burchaklari teng bo‘lishini 
    isbotlang.
    28.
    Agar 21-rasmda 
    AB=BC


    ABC
    =
    50°, 
    AE
    va 
    CF
    bissektrisalar bo‘lsa, 
    AOB
     
    va 
    EOC
    burchaklarni 
    toping.
    29.
    22-rasmdagi noma’lum – 
    x
    burchakni toping.
    30.
    23-rasmdagi noma’lum – 
    x
    burchakni toping.
    31.
    Ikkita uchburchakning barcha mos tomonlari o‘zaro 
    perpendikulyar bo‘lsa, ularning mos burchaklari teng 
    bo‘ladimi? Javobingizni asoslang.
    32.
    Biror uchburchakni faqat bitta to‘g‘ri chiziq bo‘ylab 
    qirqib ikkita o‘tkir burchakli uchburchak hosil qilish 
    mumkinmi? Javobingizni asoslang.
    33.
    ABC 
    uchburchakda 

    A
    +

    B
     = 
    110° va 

    B
    +

    C
     = 
    100°. Uning ichki burchaklarini toping.
    17
    138°
    18
    a)
    b)
    x
    141°


    130
    22
    x
    x
    a)
    d)
    e)
    f)
    g)
    b)
    c)
    x
    x
    x
    x
    x
    x
    23
    A
    B
    C
    E
    D
    x
    34.
    24-rasmda tasvirlangan stol chirog‘i shunday yasalganki

    C
    =110° va 

    A
     = 

    B
    .
    A
    va 
    B
    burchaklarning gradus o‘lchovini toping. Nima deb o‘ylaysiz, nega u aynan 
    shunday shaklda yasalgan? 
    35.
    25-rasmdagi noma’lum burchakni toping.
    24
    27
    a)
    b)
    c)
    d)
    e)
    f)
    j)
    h)
    k)
    l)

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    12-rasmdagi noma’lum burchaklarni toping. 7

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