解:(1)60×(1+
),
=60×
,
=75(棵);
答:楊樹(shù)有75棵.
(2)60÷(1-
),
=60
,
=75(棵);
答:楊樹(shù)有75棵.
(3)75÷(1+
),
=75
,
=60(棵);
答:柳樹(shù)有60棵.
(4)75×(1-
),
=75×
,
=60(棵);
答:柳樹(shù)有60棵.
分析:(1)把柳樹(shù)的棵數(shù)看成單位“1”,楊樹(shù)是柳樹(shù)的1+
,求楊樹(shù)的棵數(shù)用乘法;
(2)把楊樹(shù)的棵數(shù)看成單位“1”,它的1-
對(duì)應(yīng)的數(shù)量是柳樹(shù)的棵數(shù)60棵,由此用除法求出楊樹(shù)的棵數(shù);
(3)把柳樹(shù)的棵數(shù)看成單位“1”,它的1+
對(duì)應(yīng)的數(shù)量是75棵,由此用除法求出柳樹(shù)的棵數(shù);
(4)把楊樹(shù)的棵數(shù)看成單位“1”,柳樹(shù)是楊樹(shù)的1-
,由此用乘法求出柳樹(shù)的棵數(shù).
點(diǎn)評(píng):解答此題的關(guān)鍵是分清單位“1”的區(qū)別,求單位“1”的幾分之幾用乘法;已知單位“1”的幾分之幾是多少,求單位“1”用除法.