在小学六年级的数学学习中,解方程是一项非常重要的技能。通过解方程,学生能够培养逻辑思维能力和问题解决能力。为了帮助同学们更好地掌握这一知识点,本文特别整理了一份解方程练习题,并附上详细的答案解析。
练习题部分
第一组:基础题
1. 3x + 5 = 14
2. 2y - 7 = 15
3. 4z + 9 = 25
第二组:进阶题
4. 5a - 8 = 2(a + 4)
5. 6b + 3 = 2(b - 5)
6. 7c - 2(c + 3) = 15
第三组:挑战题
7. 3(x - 2) + 4 = 2(x + 5)
8. 2(2y + 3) - 5 = 3(y - 1)
9. 4(z - 3) - 2(z + 1) = 10
答案解析部分
第一组:基础题
1. 3x + 5 = 14
解:3x = 14 - 5
3x = 9
x = 9 ÷ 3
x = 3
2. 2y - 7 = 15
解:2y = 15 + 7
2y = 22
y = 22 ÷ 2
y = 11
3. 4z + 9 = 25
解:4z = 25 - 9
4z = 16
z = 16 ÷ 4
z = 4
第二组:进阶题
4. 5a - 8 = 2(a + 4)
解:5a - 8 = 2a + 8
5a - 2a = 8 + 8
3a = 16
a = 16 ÷ 3
a = 5$\frac{1}{3}$
5. 6b + 3 = 2(b - 5)
解:6b + 3 = 2b - 10
6b - 2b = -10 - 3
4b = -13
b = -13 ÷ 4
b = -3$\frac{1}{4}$
6. 7c - 2(c + 3) = 15
解:7c - 2c - 6 = 15
5c - 6 = 15
5c = 15 + 6
5c = 21
c = 21 ÷ 5
c = 4$\frac{1}{5}$
第三组:挑战题
7. 3(x - 2) + 4 = 2(x + 5)
解:3x - 6 + 4 = 2x + 10
3x - 2x = 10 + 6 - 4
x = 12
8. 2(2y + 3) - 5 = 3(y - 1)
解:4y + 6 - 5 = 3y - 3
4y - 3y = -3 - 6 + 5
y = -4
9. 4(z - 3) - 2(z + 1) = 10
解:4z - 12 - 2z - 2 = 10
4z - 2z = 10 + 12 + 2
2z = 24
z = 24 ÷ 2
z = 12
通过以上练习题和答案解析,相信同学们对解方程的基本方法有了更深入的理解。希望大家能够多加练习,巩固所学知识,为未来的数学学习打下坚实的基础!