植樹(shù)問(wèn)題(應(yīng)用題專題知識(shí)框架梳理)

字號(hào):

三、植樹(shù)問(wèn)題
    (一)不封閉型(直線)植樹(shù)問(wèn)題
    1、直線兩端植樹(shù): 棵數(shù)=段數(shù)+1=全長(zhǎng)÷株距+1 ;
    全長(zhǎng)=株距×(棵數(shù)-1 );
    株距=全長(zhǎng)÷(棵數(shù)-1 );
    2、 直線一端植樹(shù): 全長(zhǎng)=株距×棵數(shù);
    棵數(shù)=全長(zhǎng)÷株距;
    株距=全長(zhǎng)÷棵數(shù);
    3 、直線兩端都不植樹(shù): 棵數(shù)=段數(shù)-1= 全長(zhǎng)÷株距-1 ;
    株距=全長(zhǎng)÷(棵數(shù)+1 );
    (二)封閉型(圓、三角形、多邊形等)植樹(shù)問(wèn)題
    棵數(shù)=總距離÷棵距;
    總距離=棵數(shù)×棵距;
    棵距=總距離÷棵數(shù).