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初一下册数学题尽量是计算题总100道带答案、过程

2025-08-01 00:59:57

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初一下册数学题尽量是计算题总100道带答案、过程,有没有人在啊?求别让帖子沉了!

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2025-08-01 00:59:57

初一下册数学题尽量是计算题总100道带答案、过程】为了帮助初一学生更好地掌握数学基础知识,尤其是计算部分,我们整理了100道初一下册数学计算题,涵盖整式运算、方程求解、分数运算、小数运算、代数式化简等内容。每道题目均附有详细解答过程和答案,便于学生练习与复习。

以下为题目的汇总表格:

序号 题目 答案 解答过程
1 计算:$2 + 3 \times 4$ 14 先算乘法:$3 \times 4 = 12$,再加2得:$2 + 12 = 14$
2 计算:$(5 - 2) \times (6 + 1)$ 21 先算括号内:$5 - 2 = 3$,$6 + 1 = 7$,再相乘:$3 \times 7 = 21$
3 计算:$-8 + 5$ -3 直接相加:$-8 + 5 = -3$
4 计算:$(-3) \times (-4)$ 12 负负得正:$-3 \times -4 = 12$
5 计算:$\frac{3}{4} + \frac{1}{2}$ $\frac{5}{4}$ 或 $1\frac{1}{4}$ 通分后:$\frac{3}{4} + \frac{2}{4} = \frac{5}{4}$
6 计算:$\frac{2}{3} \div \frac{4}{5}$ $\frac{5}{6}$ 除以一个分数等于乘以它的倒数:$\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$
7 计算:$x + 5 = 12$,求x 7 移项:$x = 12 - 5 = 7$
8 计算:$3x = 15$,求x 5 两边同时除以3:$x = 15 \div 3 = 5$
9 计算:$2(x + 3) = 10$ 2 展开:$2x + 6 = 10$,移项得:$2x = 4$,解得:$x = 2$
10 计算:$4x - 7 = 9$ 4 移项:$4x = 9 + 7 = 16$,解得:$x = 16 \div 4 = 4$
11 计算:$5^2 + 3^2$ 34 $5^2 = 25$,$3^2 = 9$,加起来得:$25 + 9 = 34$
12 计算:$\sqrt{16} + \sqrt{9}$ 7 $\sqrt{16} = 4$,$\sqrt{9} = 3$,加起来得:$4 + 3 = 7$
13 计算:$-6 + (-2)$ -8 同号相加:$-6 + (-2) = -8$
14 计算:$-10 \div 2$ -5 正负相除得负:$-10 \div 2 = -5$
15 计算:$\frac{5}{8} \times \frac{2}{5}$ $\frac{1}{4}$ 分子相乘:$5 \times 2 = 10$,分母相乘:$8 \times 5 = 40$,约分得:$\frac{10}{40} = \frac{1}{4}$
16 计算:$7.2 + 1.8$ 9 直接相加:$7.2 + 1.8 = 9$
17 计算:$3.5 \times 2$ 7 直接相乘:$3.5 \times 2 = 7$
18 计算:$12.6 \div 3$ 4.2 直接除法:$12.6 \div 3 = 4.2$
19 计算:$x^2 = 16$,求x ±4 平方根:$x = \pm \sqrt{16} = \pm4$
20 计算:$2x + 3 = 7$ 2 移项:$2x = 7 - 3 = 4$,解得:$x = 4 \div 2 = 2$
21 计算:$5x - 2 = 8$ 2 移项:$5x = 8 + 2 = 10$,解得:$x = 10 \div 5 = 2$
22 计算:$\frac{1}{2} + \frac{1}{3}$ $\frac{5}{6}$ 通分:$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
23 计算:$\frac{3}{4} - \frac{1}{2}$ $\frac{1}{4}$ 通分:$\frac{3}{4} - \frac{2}{4} = \frac{1}{4}$
24 计算:$(-2)^3$ -8 负数的奇次幂为负:$-2 \times -2 \times -2 = -8$
25 计算:$(-5)^2$ 25 负数的偶次幂为正:$-5 \times -5 = 25$
26 计算:$3x + 2x$ 5x 合并同类项:$3x + 2x = 5x$
27 计算:$7a - 3a$ 4a 合并同类项:$7a - 3a = 4a$
28 计算:$2(x - 3)$ 2x - 6 去括号:$2 \times x - 2 \times 3 = 2x - 6$
29 计算:$-4(2x + 1)$ -8x - 4 去括号:$-4 \times 2x + (-4) \times 1 = -8x - 4$
30 计算:$x^2 + 2x + 1$ $(x+1)^2$ 完全平方公式:$x^2 + 2x + 1 = (x+1)^2$
31 计算:$2x + 5 = 15$ 5 移项:$2x = 15 - 5 = 10$,解得:$x = 10 \div 2 = 5$
32 计算:$4x - 6 = 10$ 4 移项:$4x = 10 + 6 = 16$,解得:$x = 16 \div 4 = 4$
33 计算:$\frac{3}{5} \times \frac{10}{9}$ $\frac{2}{3}$ 分子相乘:$3 \times 10 = 30$,分母相乘:$5 \times 9 = 45$,约分得:$\frac{30}{45} = \frac{2}{3}$
34 计算:$\frac{7}{8} \div \frac{1}{4}$ $\frac{7}{2}$ 或 $3\frac{1}{2}$ 除以一个分数等于乘以它的倒数:$\frac{7}{8} \times \frac{4}{1} = \frac{28}{8} = \frac{7}{2}$
35 计算:$-3 + 8$ 5 直接相加:$-3 + 8 = 5$
36 计算:$-12 \div (-4)$ 3 负负得正:$-12 \div -4 = 3$
37 计算:$(-2)^2 + (-3)^2$ 13 $(-2)^2 = 4$,$(-3)^2 = 9$,加起来得:$4 + 9 = 13$
38 计算:$\sqrt{25} + \sqrt{16}$ 9 $\sqrt{25} = 5$,$\sqrt{16} = 4$,加起来得:$5 + 4 = 9$
39 计算:$x^2 - 4 = 0$,求x ±2 移项:$x^2 = 4$,开平方得:$x = \pm2$
40 计算:$3x + 4 = 13$ 3 移项:$3x = 13 - 4 = 9$,解得:$x = 9 \div 3 = 3$
41 计算:$5x - 1 = 14$ 3 移项:$5x = 14 + 1 = 15$,解得:$x = 15 \div 5 = 3$
42 计算:$\frac{2}{5} + \frac{3}{10}$ $\frac{7}{10}$ 通分:$\frac{4}{10} + \frac{3}{10} = \frac{7}{10}$
43 计算:$\frac{5}{6} - \frac{1}{3}$ $\frac{1}{2}$ 通分:$\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$
44 计算:$(-3) \times 5$ -15 负数乘正数得负:$-3 \times 5 = -15$
45 计算:$(-6) \times (-2)$ 12 负负得正:$-6 \times -2 = 12$
46 计算:$x + 7 = 10$ 3 移项:$x = 10 - 7 = 3$
47 计算:$4x = 20$ 5 两边除以4:$x = 20 \div 4 = 5$
48 计算:$2(x - 5) = 10$ 10 展开:$2x - 10 = 10$,移项:$2x = 20$,解得:$x = 10$
49 计算:$3x + 4 = 19$ 5 移项:$3x = 19 - 4 = 15$,解得:$x = 15 \div 3 = 5$
50 计算:$\frac{3}{7} \times \frac{14}{9}$ $\frac{2}{3}$ 分子相乘:$3 \times 14 = 42$,分母相乘:$7 \times 9 = 63$,约分得:$\frac{42}{63} = \frac{2}{3}$
51 计算:$\frac{5}{9} \div \frac{10}{3}$ $\frac{1}{6}$ 除以一个分数等于乘以它的倒数:$\frac{5}{9} \times \frac{3}{10} = \frac{15}{90} = \frac{1}{6}$
52 计算:$-7 + 12$ 5 直接相加:$-7 + 12 = 5$
53 计算:$-9 \div 3$ -3 正负相除得负:$-9 \div 3 = -3$
54 计算:$\sqrt{49} - \sqrt{16}$ 3 $\sqrt{49} = 7$,$\sqrt{16} = 4$,减得:$7 - 4 = 3$
55 计算:$x^2 - 9 = 0$,求x ±3 移项:$x^2 = 9$,开平方得:$x = \pm3$
56 计算:$6x + 2 = 20$ 3 移项:$6x = 20 - 2 = 18$,解得:$x = 18 \div 6 = 3$
57 计算:$2x - 3 = 5$ 4 移项:$2x = 5 + 3 = 8$,解得:$x = 8 \div 2 = 4$
58 计算:$\frac{4}{5} + \frac{1}{10}$ $\frac{9}{10}$ 通分:$\frac{8}{10} + \frac{1}{10} = \frac{9}{10}$
59 计算:$\frac{7}{8} - \frac{3}{4}$ $\frac{1}{8}$ 通分:$\frac{7}{8} - \frac{6}{8} = \frac{1}{8}$
60 计算:$(-4) \times 6$ -24 负数乘正数得负:$-4 \times 6 = -24$
61 计算:$(-7) \times (-3)$ 21 负负得正:$-7 \times -3 = 21$
62 计算:$x + 8 = 15$ 7 移项:$x = 15 - 8 = 7$
63 计算:$5x = 30$ 6 两边除以5:$x = 30 \div 5 = 6$
64 计算:$3(x + 2) = 15$ 3 展开:$3x + 6 = 15$,移项:$3x = 9$,解得:$x = 3$
65 计算:$4x + 3 = 19$ 4 移项:$4x = 19 - 3 = 16$,解得:$x = 16 \div 4 = 4$
66 计算:$\frac{2}{3} \times \frac{9}{4}$ $\frac{3}{2}$ 或 $1\frac{1}{2}$ 分子相乘:$2 \times 9 = 18$,分母相乘:$3 \times 4 = 12$,约分得:$\frac{18}{12} = \frac{3}{2}$
67 计算:$\frac{5}{6} \div \frac{10}{3}$ $\frac{1}{4}$ 除以一个分数等于乘以它的倒数:$\frac{5}{6} \times \frac{3}{10} = \frac{15}{60} = \frac{1}{4}$
68 计算:$-10 + 6$ -4 直接相加:$-10 + 6 = -4$
69 计算:$-12 \div (-6)$ 2 负负得正:$-12 \div -6 = 2$
70 计算:$\sqrt{64} + \sqrt{25}$ 13 $\sqrt{64} = 8$,$\sqrt{25} = 5$,加起来得:$8 + 5 = 13$
71 计算:$x^2 = 25$,求x ±5 平方根:$x = \pm \sqrt{25} = \pm5$
72 计算:$7x + 1 = 15$ 2 移项:$7x = 15 - 1 = 14$,解得:$x = 14 \div 7 = 2$
73 计算:$2x - 5 = 3$ 4 移项:$2x = 3 + 5 = 8$,解得:$x = 8 \div 2 = 4$
74 计算:$\frac{3}{4} + \frac{5}{8}$ $\frac{11}{8}$ 或 $1\frac{3}{8}$ 通分:$\frac{6}{8} + \frac{5}{8} = \frac{11}{8}$
75 计算:$\frac{7}{9} - \frac{2}{3}$ $\frac{1}{9}$ 通分:$\frac{7}{9} - \frac{6}{9} = \frac{1}{9}$
76 计算:$(-5) \times 4$ -20 负数乘正数得负:$-5 \times 4 = -20$
77 计算:$(-8) \times (-2)$ 16 负负得正:$-8 \times -2 = 16$
78 计算:$x + 9 = 16$ 7 移项:$x = 16 - 9 = 7$
79 计算:$6x = 36$ 6 两边除以6:$x = 36 \div 6 = 6$
80 计算:$4(x - 1) = 12$ 4 展开:$4x - 4 = 12$,移项:$4x = 16$,解得:$x = 4$
81 计算:$5x + 2 = 22$ 4 移项:$5x = 22 - 2 = 20$,解得:$x = 20 \div 5 = 4$
82 计算:$\frac{3}{5} \times \frac{10}{6}$ 1 分子相乘:$3 \times 10 = 30$,分母相乘:$5 \times 6 = 30$,约分得:$\frac{30}{30} = 1$
83 计算:$\frac{4}{7} \div \frac{8}{14}$ 1 除以一个分数等于乘以它的倒数:$\frac{4}{7} \times \frac{14}{8} = \frac{56}{56} = 1$
84 计算:$-5 + 10$ 5 直接相加:$-5 + 10 = 5$
85 计算:$-15 \div 5$ -3 正负相除得负:$-15 \div 5 = -3$
86 计算:$\sqrt{81} - \sqrt{36}$ 3 $\sqrt{81} = 9$,$\sqrt{36} = 6$,减得:$9 - 6 = 3$
87 计算:$x^2 = 49$,求x ±7 平方根:$x = \pm \sqrt{49} = \pm7$
88 计算:$8x + 3 = 35$ 4 移项:$8x = 35 - 3 = 32$,解得:$x = 32 \div 8 = 4$
89 计算:$3x - 4 = 5$ 3 移项:$3x = 5 + 4 = 9$,解得:$x = 9 \div 3 = 3$
90 计算:$\frac{5}{6} + \frac{1}{3}$ $\frac{7}{6}$ 或 $1\frac{1}{6}$ 通分:$\frac{5}{6} + \frac{2}{6} = \frac{7}{6}$
91 计算:$\frac{9}{10} - \frac{3}{5}$ $\frac{3}{10}$ 通分:$\frac{9}{10} - \frac{6}{10} = \frac{3}{10}$
92 计算:$(-6) \times 3$ -18 负数乘正数得负:$-6 \times 3 = -18$
93 计算:$(-9) \times (-2)$ 18 负负得正:$-9 \times -2 = 18$
94 计算:$x + 10 = 18$ 8 移项:$x = 18 - 10 = 8$
95 计算:$7x = 49$ 7 两边除以7:$x = 49 \div 7 = 7$
96 计算:$5(x + 2) = 25$ 3 展开:$5x + 10 = 25$,移项:$5x = 15$,解得:$x = 3$
97 计算:$6x + 4 = 22$ 3 移项:$6x = 22 - 4 = 18$,解得:$x = 18 \div 6 = 3$
98 计算:$\frac{2}{3} \times \frac{9}{4}$ $\frac{3}{2}$ 或 $1\frac{1}{2}$ 分子相乘:$2 \times 9 = 18$,分母相乘:$3 \times 4 = 12$,约分得:$\frac{18}{12} = \frac{3}{2}$
99 计算:$\frac{5}{8} \div \frac{10}{16}$ 1 除以一个分数等于乘以它的倒数:$\frac{5}{8} \times \frac{16}{10} = \frac{80}{80} = 1$
100 计算:$-7 + 13$ 6 直接相加:$-7 + 13 = 6$

以上为初一下册数学计算题100道,涵盖多种类型,适合课后练习与巩固。建议学生在做题时注意步骤清晰、逻辑严谨,逐步提高计算能力与思维能力。

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