解:(1)8:9=4:x,
8x=9×4,
8x÷8=36÷8,
x=4.5;
(2)3:4=x:1.2,
4x=3×1.2,
4x÷4=3.6÷4,
x=0.9;
(3)
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=
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,
1.2x=1.5×6,
1.2x÷1.2=9÷1.2,
x=7.5;
(4)
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=
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,
15x=4×4,
15x÷15=16÷15,
x=1
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;
(5)x:
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=
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:
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,
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x=
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,
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x
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=
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,
x=
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.
分析:(1)先根据比例基本性质:两内项之积等于两外项之积,化简方程,再依据等式的性质,方程两边同时除以8求解,
(2)先根据比例基本性质:两内项之积等于两外项之积,化简方程,再依据等式的性质,方程两边同时除以4求解,
(3)先根据比例基本性质:两内项之积等于两外项之积,化简方程,再依据等式的性质,方程两边同时除以1.2求解,
(4)先根据比例基本性质:两内项之积等于两外项之积,化简方程,再依据等式的性质,方程两边同时除以15求解,
(5)先根据比例基本性质:两内项之积等于两外项之积,化简方程,再依据等式的性质,方程两边同时除以
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求解.
点评:本题主要考查学生依据等式的性质,以及比例基本性质解方程的能力,解方程时注意对齐等号.