1. 口算。(建议用时4分钟)
$10^2 =$
$12^2 =$
$40^2 =$
$10^2 - 3^2 =$
$5π =$
$30π =$
$0.04π =$
$200π - 100π =$
$(40 - 10)^2 =$
$(0.4 - 0.2)^2 =$
$(14 ÷ 2)^2 =$
$0.8^2 - 0.2^2 =$
$3.14 × 4^2 =$
$3.14 × 20^2 =$
$31.4 ÷ 1^2 =$
$94.2 ÷ 3.14 =$
$3.14 × (10 ÷ 2)^2 =$
$3.14 × (3^2 - 1^2) =$
$3.14 × 10 ÷ 2 =$
$3.14 × (12 ÷ 2)^2 =$
$3.14 × (6 ÷ 2)^2 =$
$3.14 × 8 ÷ 2 =$
$10^2 =$
$12^2 =$
$40^2 =$
$10^2 - 3^2 =$
$5π =$
$30π =$
$0.04π =$
$200π - 100π =$
$(40 - 10)^2 =$
$(0.4 - 0.2)^2 =$
$(14 ÷ 2)^2 =$
$0.8^2 - 0.2^2 =$
$3.14 × 4^2 =$
$3.14 × 20^2 =$
$31.4 ÷ 1^2 =$
$94.2 ÷ 3.14 =$
$3.14 × (10 ÷ 2)^2 =$
$3.14 × (3^2 - 1^2) =$
$3.14 × 10 ÷ 2 =$
$3.14 × (12 ÷ 2)^2 =$
$3.14 × (6 ÷ 2)^2 =$
$3.14 × 8 ÷ 2 =$
答案
100
144
1600
91
15.7
94.2
0.1256
314
900
0.04
49
0.6
50.24
1256
31.4
30
78.5
25.12
15.7
113.04
28.26
12.56
144
1600
91
15.7
94.2
0.1256
314
900
0.04
49
0.6
50.24
1256
31.4
30
78.5
25.12
15.7
113.04
28.26
12.56
2. 计算下面各题。(建议用时2分钟)
$3.14×4×\frac{1}{4}$
$3.14×(18÷2)^2×\frac{1}{9}$
$3.14×[(\frac{5}{2})^2 - 0.5^2]$
$3.14×4×\frac{1}{4}$
$3.14×(18÷2)^2×\frac{1}{9}$
$3.14×[(\frac{5}{2})^2 - 0.5^2]$
答案
3.14
28.26
18.84
28.26
18.84
3. 求下面各图形中涂色部分的面积。(建议用时2分钟)
(1)
(2)
(1)
(2)
答案
(1) $3.14 × (\frac{4}{2})^2 = 12.56(\mathrm{cm}^2)$
(2) $3.14 × 6^2 ÷ 2 - 6 × 2 × 6 ÷ 2 = 20.52(\mathrm{dm}^2)$
(2) $3.14 × 6^2 ÷ 2 - 6 × 2 × 6 ÷ 2 = 20.52(\mathrm{dm}^2)$
4. 解决问题。(建议用时2分钟)
如图,一个底面周长为24 cm的正方形盒子内刚好装进整块饼干,饼干内小正方形的边长是2 cm。这块饼干的横截面面积(涂色部分)是多少平方厘米?

如图,一个底面周长为24 cm的正方形盒子内刚好装进整块饼干,饼干内小正方形的边长是2 cm。这块饼干的横截面面积(涂色部分)是多少平方厘米?
答案
$24 ÷ 4 = 6(\mathrm{cm})$
$3.14 × (6 ÷ 2)^2 - 2 × 2 = 24.26(\mathrm{cm}^2)$
$3.14 × (6 ÷ 2)^2 - 2 × 2 = 24.26(\mathrm{cm}^2)$
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