3 Төртбұрышты дұрыс пирамиданың биіктігі 2 см –ге тең, ал табанының қабырғасы 4 см. Бүйір қырының ұзындығын тап.
SH=2, AB= 4. SA= ?
АC=![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAAOCAIAAAD42Ti+AAABkElEQVR4nNWVMYqDQBSGNzFVKglJJKawEeuUksoTeIE0XkE2gm1AELTIAXKAVGktbMQqRwjewUKEYKXZxw7IMONMxOyy2b+Q+PI+3j+/Mzp5PB4f/1OTvzYwXN3WR6PRbwz72SfMTP2tNhIdJdjru2GyLKuqarPZ9J83AOGIjrLDOiwR+vI8V1W1KApUnM1mcRwvl0tZljkDcKon0snSmk6ni8XicDhYlsW0jpQkSVmW7S1gTdM8NYFTPRHWxFYQpa7raZrebjfDMJ5Yh2e9Xq/xShiGoihCMPP5nDWboFjI/X7HbyFOMEdPxHW9XuG6Wq0kSWqL3dajKLJtG684jkO3jcdjyJVFdSJ1XXueh1cAgU1FT6R1Op2CICCtoyPcHoXPb9HmCN9EQx9KEATf9+k6zaIj1zZcLhdN00zTJK2jJmIBHAcg+ItoQL/5FKS+3+/xiuu6sA0Itn0bogWcz2dFUbbbLQ6+9DXlWGQJUj8ej0/b8ChBu92OHjohAPzlP8DZYIrPdtbJ1N/qI8o38wVmMe8ZxhqUqgAAAABJRU5ErkJggg==)
AH=2
SA= =![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAOCAIAAACtuNvgAAAA+UlEQVR4nJ2SLw9FUBiHr80IJho2m2aCKEk+gShQzDdRRVVngqJKkuhPMYLPoNgE4547du4ud3avXzjh7H32vO97Drqu6+P/oDeYXzEEQW7aDrO8MEmS+r6nKMpxHMuyzipRFHEc5zguiiJZlneMJMlhGJqmUVX1jIEAoCzLoihs267resfyPAcny7I0TX/tME3TeZ7HcQTO42y+77uue+5wmwrDMIZhkiT5wOI4FgRB07QzsGWapizLDMPoum7HwjDkeV5RFAgcnLquB0EAhGAFb5tpmrBiWRYogcK2bQmCAE16nvfGQOnXTcBUVXW4uXrui+96808+AbQaYtYTQXlCAAAAAElFTkSuQmCC)
Жауабы: см.
№4.
Төртбұрышты дұрыс пирамиданың биіктігі 9 см-ге тең, ал бүйір қыры 12 см болса, көлемі неге тең?
SH=9 см , SA= 12 см , V=?
НС= =3
AC=6
AB2+BC2=252
S=AB2= 126
V=S H
V=*126 *9=378см3Жауабы:378см3
№5
Дұрыс төртбұрышты пирамиданың биіктігі 80 см, табан қабырғасы 120 см. Табанының центірінен өтетін бүйір жағына параллель қимасының ауданын табыңыз.
SH=80 cм,
AB=120 cм
SKFNM-?
AC=
AH=60
SA= =20
КМ=SA:2=20:2=10
MN=BC=120
MO=(MN-KF):2=(120-60):2=30
KO= =50
SKFNM= 4500cм2
№6. Төртбұрышты дұрыс пирамиданың табан қабырғасы 20 см, бүйір қырының екі жақты бұрышы 1200. Пирамиданың бүйір бетінің ауданын табыңыз.
0
AC2=AB2+BC2
1) ABC
AC= =20
2) AFC
FC=(20.): =20![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAbCAIAAAD6Vpj1AAABG0lEQVR4nK2TP8tHUBTHH/WLQUahlE0po8nkFRgNLPJOrEarnQwWq8lk9GcRg9dgUQbx3FL6hZur5znDTafz8f2ec8/9bNv28yY+r6qhAIZht3lgB6oAswoFZFkehoGmadd1bdt+BiiKGsexbVtN05CAoijAyXEcwzBIlvYIgsDzvAcAjGjvOEkSURR1XUdSiKJIEARVVU95KGBZ1vG9rusz8F2EpACL/wOu67SP7g+7dIwfydLVgCRJYPl4no/jWFGUMwD+fWJAaVVVZVk6jtM0zY2lg9mNZVm2LMs0TQRB3PdwDRzHWZZN0xQVmOc5z3PTNPu+fwYMwwjDEIiAZwRV+G696zqSJIEl3/eRLNV1fZs/A49393r5fgFpm3SJhnzYrQAAAABJRU5ErkJggg==)
3) FBC
BF= =![](data:image/png;base64,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)
SC2=SF2+FC2
SC=x,
SF= x-
X2=( x- )2+(20 )2
X2=X2-2X +( )2+
X=
X=10
SC=10
SK2=SC2-KC2=(10)2-102=200
SK=10
Sб.б=PABCDSK= *80* 10= 400
№
Достарыңызбен бөлісу: |