专项03：包含百分数的解方程（计算专项训练）数学青岛版六年级下册

可学科网 www zxxk.com 让教与学更高效 青岛版六年级数学下册计算能力专项训练 专项03：包含百分数的解方程 一、一步解方程（基础核心型） 1.加法类（x+a=b或a+x=b) ①x+25%=1.6 ②30%+x-青 ③x+12.5%=0.875 ④60%+x=1字 ⑤x+40%=2.1 ⑥15%+x-=4 2.减法类 (1)顺向减法(x-a=b) ①x-30%=0.5 ②x-18%-0 ③x-55%=0.45 ④x-24%=1.36 ⑤x-75%=青 ⑥x-4%=0.96 (2)逆向减法(a-x=b) ①80%-x=0.3 ②1-x=25% 可学科网 www zxxk.com 让教与学更高效 ③星-x=40% ④1.2-x=60% ⑤0.9-x=35% ⑥2-x=10% 3.乘法类(ax=b) ①50%x=1.2 ②30%x=号 ③125%x=2.5 ④80%x=4 ⑥75%x-号 ⑥40%x=0.16 4.除法类 (1)顺向除法(x÷a=b) ①x÷20%=4.5 ②x÷75%-青 ③x÷40%=1.5 ④x÷60%=5 ⑤x÷15%=8 ⑥x÷80%-4 (2)逆向除法(ax=b) ①60%÷x=0.4 ②0.8÷x=20% 可学科网 www zxxk.com 让教与学更高效 ③÷x=75% ④1.2÷x=40% ⑤90%÷x=1.5 ⑥清÷X=80% 二、两步解方程（综合运算型） 5.乘加组合(ax+b=c或b+ax=c) ①30%x+0.5=1.1 ②0.4+25%x=1.15 ③60%x+=1.45 ④号+40%x=1 ⑤75%x+1.2=3 ⑥1.5+50%x=2.25 6.乘减组合（ax-b=c或b-ax=c) ①80%x-0.3=0.5 ②1-30%x=0.4 ③60%x-3=0.7 ④2-25%x=0.25 ⑤90%x-1.2=1.5 ⑥2-40%x=1.2 7.除加组合(x÷a+b=c或b+x÷a=c) ①x÷25%+0.4=2 ②0.6+x÷60%=2.6 可学科网 www zxxk.com 让教与学更高效 ③x÷40%+号=3.5 ④号+x÷75%=2 ⑤x÷15%+1=9 ⑥1.2+x÷80%=3.2 8.除减组合(x÷a-b=c或b-x÷a=c) ①x÷30%-0.8=1.2 ②2-x÷50%=0.6 ③x÷75%-号=1 ④%-x÷40%=0.1 ⑤x÷20%-1.5=3.5 ⑥1.8-x÷60%=0.8 三、含括号解方程（运算顺序型） 9.括号内为x±a(a(&士b)=c) ①40%(&+2)=1.6 ②75%(&-0.4)=1.2 ③50%(&+)=0.7 ④60%(&-)=0.8 ⑤25%(&+1.2)=0.8 ⑥80%(-0.5)=1.2 10.括号内为a土x(ab士)=c) ①30%(1.2-x)=0.15 ②50%(0.8+8)=0.6 可学科网 www zxxk.com 让教与学更高效 ③60%(2-8)=0.9 ④75%(8+1.6)=2.1 ⑤40%(1.5-x)=0.2 ⑥80%(&+)=1 参考答案 一、一步解方程（基础核心型） 1.加法类 函学科网 www zxxk.com 让教与学更高效 ① 8+25% =1.6 x+0.25 =1.6 X =1.6-0.25 X =1.35 ② 30%+8 =清 0.3+8 =0.8 中 =0.8-0.3 8 =0.5 ③ x+12.5% =0.875 8+0.125 =0.875 X =0.875-0.125 8 =0.75 ④ 60%+8 =绿 0.6+x =1.25 于 =1.25-0.6 8 =0.65 ⑤ 8+40% =2.1 x+0.4 =2.1 8=2.1-0.4 X =1.7 ⑥ 面学科网 www zxxk.com 让教与学更高效 15%+x = 0.15+8 =0.75 x=0.75-0.15 X =0.6 2.减法类 (1)顺向减法 ① x-30% =0.5 8-0.3 =0.5 于 =0.5+0.3 x =0.8 ② 8-18% =品 x-0.18 =0.55 X =0.55+0.18 X =0.73 ③ 8-55% =0.45 x-0.55 =0.45 8 =0.45+0.55 8 =1 ④ 8-24% =1.36 8-0.24 =1.36 8 =1.36+0.24 8 =1.6 ⑤ 函学科网 www zxxk.com 让教与学更高效 x-75% =月 x-0.75 =0.125 x=0.125+0.75 X =0.875 ⑥ X-4% =0.96 8-0.04 =0.96 4 =0.96+0.04 X =1 (2)逆向减法 ① 80%-8 =0.3 0.8-8 =0.3 8 =0.8-0.3 8 =0.5 ② 1-8 =25% 1-8 =0.25 X =1-0.25 8 =0.75 ③ 至-x =40% 0.75-8 =0.4 8=0.75-0.4 X =0.35 ④ 函学科网 www zxxk.com 让教与学更高效 1.2-x =60% 1.2-8 =0.6 8=1.2-0.6 X =0.6 ⑤ 0.9-x =35% 0.9-x =0.35 8=0.9-0.35 X =0.55 ⑥ 8-x =10% 8-x =品 X -8品 x-器最 X - 3.乘法类 ① 50%x =1.2 0.5x =1.2 4 =1.2÷0.5 8 =2.4 ② 30%x 0.3x =0.45 =0.45:0.3 X =1.5 ③ 可学科网 www zxxk.com 让教与学更高效 125%x =2.5 1.25x =2.5 x=2.5÷1.25 8 =2 ④ 80%x =4 0.8x =4 X =4÷0.8 8 =5 ⑤ 75%x =骨 0.75x =0.6 8 =0.6÷0.75 X =0.8 ⑥ 40%x =0.16 0.4x =0.16 中 =0.16÷0.4 X =0.4 4.除法类 (1)顺向除法 ① 8÷20% =4.5 x÷0.2 =4.5 x=4.5x0.2 8 =0.9 ②