2026年计算素养提升六年级数学下册北师大版第76页答案
1. 解方程或比例。
$0.5:1.5 = x:12$ $x =$
$x:9 = 4:3$ $x =$
$\frac{x}{5} = \frac{12}{3}$ $x =$
$x:1.6 = 5:4$ $x =$
$\frac{12}{6} = \frac{4}{x}$ $x =$
$\frac{8}{x} = 4:3$ $x =$
$\frac{1}{4} = \frac{x}{8}$ $x =$
$\frac{0.5}{x} = \frac{1.5}{12}$ $x =$
$8:4 = 24:x$ $x =$
$\frac{2}{5} = \frac{18}{(\_\_\_\_\_\_)}$
$\frac{13}{14} = \frac{(\_\_\_\_\_\_)}{98}$
$\frac{(\_\_\_\_\_\_)}{12} = \frac{20}{48}$

答案

解:1.5x = 0.5×12
1.5x = 6
x = 4
解:3x = 9×4
3x = 36
x = 12
解:3x = 5×12
3x = 60
x = 20
解:4x = 1.6×5
4x = 8
x = 2
解:12x = 6×4
12x = 24
x = 2
解:4x = 8×3
4x = 24
x = 6
解:4x = 1×8
4x = 8
x = 2
解:1.5x = 0.5×12
1.5x = 6
x = 4
解:8x = 4×24
8x = 96
x = 12
5×18÷2=45
13×98÷14=91
12×20÷48=5
2. 选出正确的选项。
(1)下面的式子中,是方程式的是(
)。
A. $3x + 15$
B. $5 - x > 3$
C. $5x = 18 - 4$
(2)$\frac{2 + 2a}{1 + a}$一分数,$a$是自然数,这个式子的值是(
)。
A. 2
B. 1
C. 0
(3)$a$与$b$的和的$\frac{1}{8}$用式子表示是(
)。
A. $a + \frac{1}{8}$
B. $\frac{1}{8} = a + b$
C. $\frac{1}{8}(a + b)$

答案

(1)
选C
(2)
$\frac{2+2a}{1+a}=\frac{2(1+a)}{1+a}=2$
选A
(3)
选C
3. 解方程。
$0.8x - 14.7 = 1.3$
$(10 - 7.5)x = 0.125×8$
$x×(1 - 37.5\%) = \frac{5}{8}$
$\frac{1}{3}x + \frac{1}{4}x = \frac{2}{3}$
$x + 15\%x = 115$
$x - 40\%x = 120$

答案

解方程:
1. $0.8x - 14.7 = 1.3$
解:
$0.8x = 1.3 + 14.7$
$0.8x = 16$
$x = 16÷0.8$
$x = 20$
2. $(10 - 7.5)x = 0.125×8$
解:
$2.5x = 1$
$x = 1÷2.5$
$x = 0.4$
3. $x×(1 - 37.5\%) = \frac{5}{8}$
解:
$x×\frac{5}{8} = \frac{5}{8}$
$x = \frac{5}{8}÷\frac{5}{8}$
$x = 1$
4. $\frac{1}{3}x + \frac{1}{4}x = \frac{2}{3}$
解:
$\frac{7}{12}x = \frac{2}{3}$
$x = \frac{2}{3}×\frac{12}{7}$
$x = \frac{8}{7}$
5. $x + 15\%x = 115$
解:
$1.15x = 115$
$x = 115÷1.15$
$x = 100$
6. $x - 40\%x = 120$
解:
$0.6x = 120$
$x = 120÷0.6$
$x = 200$