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  • 一晝夜(0~24點(diǎn))時(shí)針與分針互相垂直的次數(shù)為多少?

    一晝夜(0~24點(diǎn))時(shí)針與分針互相垂直的次數(shù)為多少?
    是不是無(wú)數(shù)?
    數(shù)學(xué)人氣:752 ℃時(shí)間:2020-05-19 20:43:47
    優(yōu)質(zhì)解答
    90÷(6-0.5)
    =90÷5.5
    =180/11
    =16又4/11分
    (90+180)÷(6-0.5)
    =270÷5.5
    =540/11
    =49又1/11分
    即0時(shí)16又4/11分或0時(shí)49又1/11分時(shí)針?lè)轴槾怪?br/>(30+90)÷(6-0.5)
    =120÷5.5
    =240/11
    =21又9/11分
    (30+90+180)÷(6-0.5)
    =300÷5.5
    =600/11
    =54又6/11分
    即1時(shí)21又9/11分或1時(shí)54又6/11分時(shí)針?lè)轴槾怪?br/>(30×2+90)÷(6-0.5)
    =150÷5.5
    =300/11
    =27又3/11分
    (30×2+90+180)÷(6-0.5)
    =330÷5.5
    =60分
    即2時(shí)27又3/11分或3時(shí)整時(shí)針?lè)轴槾怪?br/>(30×3+90)÷(6-0.5)
    =180÷5.5
    =360/11
    =32又8/11分
    (30×3+90+180)÷(6-0.5)
    =360÷5.5
    =720/11
    =65又5/11分
    即3時(shí)32又8/11分或4時(shí)5又5/11分時(shí)針?lè)轴槾怪?br/>(30×4+90)÷(6-0.5)
    =210÷5.5
    =420/11
    =38又2/11分
    (30×4+90+180)÷(6-0.5)
    =390÷5.5
    =780/11
    =70又10/11分
    即4時(shí)38又2/11分或5時(shí)10又10/11分時(shí)針?lè)轴槾怪?br/>(30×5+90)÷(6-0.5)
    =240÷5.5
    =480/11
    =43又7/11分
    (30×5+90+180)÷(6-0.5)
    =420÷5.5
    =840/11
    =76又4/11分
    即5時(shí)43又7/11分或6時(shí)16又4/11分時(shí)針?lè)轴槾怪?br/>(30×6+90)÷(6-0.5)
    =270÷5.5
    =540/11
    =49又1/11分
    (30×6+90+180)÷(6-0.5)
    =450÷5.5
    =900/11
    =81又9/11分
    即6時(shí)49又1/11分或7時(shí)21又9/11分時(shí)針?lè)轴槾怪?br/>(30×7+90)÷(6-0.5)
    =300÷5.5
    =600/11
    =54又6/11分
    (30×7+90+180)÷(6-0.5)
    =480÷5.5
    =960/11
    =87又3/11分
    即7時(shí)54又6/11分或8時(shí)27又3/11分時(shí)針?lè)轴槾怪?br/>(30×8+90)÷(6-0.5)
    =330÷5.5
    =600分
    (30×8+90+180)÷(6-0.5)
    =510÷5.5
    =1020/11
    =92又8/11分
    即9時(shí)整或9時(shí)32又8/11分時(shí)針?lè)轴槾怪?br/>(30×9+90)÷(6-0.5)
    =360÷5.5
    =720/11
    =65又5/11分
    (30×9+90+180)÷(6-0.5)
    =540÷5.5
    =1080/11
    =98又2/11分
    即9時(shí)5又5/11分或9時(shí)38又2/11分時(shí)針?lè)轴槾怪?br/>(30×10+90)÷(6-0.5)
    =390÷5.5
    =780/11
    =70又10/11分
    (30×10+90+180)÷(6-0.5)
    =570÷5.5
    =1140/11
    =103又7/11分
    即10時(shí)10又10/11分或10時(shí)43又7/11分時(shí)針?lè)轴槾怪?br/>(30×11+90)÷(6-0.5)
    =420÷5.5
    =840/11
    =76又4/11分
    (30×11+90+180)÷(6-0.5)
    =600÷5.5
    =1200/11
    =109又1/11分
    即11時(shí)16又4/11分或11時(shí)49又1/11分時(shí)針?lè)轴槾怪?br/>12小時(shí)時(shí)針與分針互相垂直24次
    一晝夜(0~24點(diǎn))時(shí)針與分針互相垂直的次數(shù)為48次
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