解:(1)3.2X-4×
![](http://thumb.1010pic.com/pic5/latex/96.png)
=
![](http://thumb.1010pic.com/pic5/latex/36.png)
,
3.2X-1=
![](http://thumb.1010pic.com/pic5/latex/36.png)
,
3.2X-1+1=
![](http://thumb.1010pic.com/pic5/latex/36.png)
+1,
3.2X÷3.2=1.2÷3.2,
x=0.375;
(2)24:X=9:5,
9X=24×5,
9X÷9=120÷9,
X=13
![](http://thumb.1010pic.com/pic5/latex/8.png)
;
(3)X:18=54:3,
3X=18×54,
3X÷3=972÷3,
X=324;
(4)0.5X-
![](http://thumb.1010pic.com/pic5/latex/1207.png)
=1.625,
0.5X-
![](http://thumb.1010pic.com/pic5/latex/1207.png)
![](http://thumb.1010pic.com/pic5/latex/238655.png)
=1.625
![](http://thumb.1010pic.com/pic5/latex/238655.png)
,
0.5X÷0.5=2.5÷0.5,
X=5.
分析:(1)先化简,再根据等式的基本性质,在方程两边同时加1,再除以3.2求解,
(2)先根据比例的基本性质,把原式转化为9X=24×5,再根据等式的基本性质,在方程两边同时除以9求解,
(3)先根据比例的基本性质,把原式转化为3X=18×54,再根据等式的基本性质,在方程两边同时除以3求解,
(4)根据等式的基本性质,在方程两边同时加上
![](http://thumb.1010pic.com/pic5/latex/1207.png)
,再除以0.5求解.
点评:本题考查了学生根据等式的性质和比例的基本性质解方程的能力,注意等号对齐.