第八章 实数---平方根立方根 速记表

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第八章 实数---平方根立方根 速记表

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(
七下数学平方根立方根
速记表
)
(
七下数学平方根立方根
速记表
)
开平方数字表
求平方(正数 ) 算术平方根 求平方(正负) 求方根(正负)
1 = 1 √ 1= 1 (±1) = 1 ± √ 1=± 1
2 = 4 √4=2 (±2) =4 ± √4=±2
3 =9 √9=3 (±3) =9 ± √9=±3
4 = 16 √ 16= 4 (±4) = 16 ± √ 16=±4
5 = 25 √25= 5 (±5) = 25 ± √25=±5
6 = 36 √36= 6 (±6) =36 ± √36=±6
7 = 49 √49=7 (±7) =49 ± √49=±7
8 = 64 √64 =8 (±8) = 64 ± √64=±8
92=81 √81=9 (±9) = 81 ± √81=±9
10 = 100 √ 100 =10 (±10) = 100 ± √ 100=±10
11 = 121 √ 121= 11 (±11) = 121 ± √ 121=±11
12 = 144 √ 144 =12 (±12) = 144 ± √ 144=± 12
13 = 169 √ 169=13 (±13) = 169 ± √ 169=±13
14 = 196 √ 196= 14 (±14) = 196 ± √ 196=±14
15 = 225 √225= 15 (±15) = 225 ± √225=±15
16 = 256 √256= 16 (±16) = 256 ± √256=±16
17 = 289 √289= 17 (±17) = 289 ± √289=±17
18 = 324 √324 =18 (±18) = 324 ± √324=± 18
19 = 361 √361= 19 (±19) = 361 ± √361=±19
20 = 400 √400= 20 (±20) = 400 ± √400=±20
—1—
开立方数字表
1 = 1 √ 1= 1 (-1) =- 1 -1=-1
2 = 8 √8= 2 (-2) =-8 -8=-2
3 = 27 √27 =3 (-3) =- 27 -27=-3
4 = 64 64 =4 (-4) =- 64 -64=-4
5 = 125 125= 5 (-5) = -125 -125=-5
6 = 216 √216 =6 (-6) =- 216 -216=-6
7 = 343 343 =7 (-7) =- 343 -343=-7
8 = 512 √512 =8 (-8) =- 512 -512=-8
9 = 729 729 =9 (-9) =- 729 -729=-9
10 = 1000 √ 1000 =10 (-10) = -1000 -1000=- 10
开平方分解表
根式 化简结果 根式 化简结果
√8 = √2×4=2 √2 √ 12 = √3×4=2 √3
√ 18 = √2×9=3 √2 √20 = √4×5=2 √5
√24 = √4×6=2 √6 √27 = √3×9=3 √3
√28 = √4×7=2 √7 √32 = √2×16=4 √2
√40 = √4×10 =2 √ 10 √44 = √4×11=2 √ 11
√45 = √5×9=3 √5 √50 = √2×25=5 √2
√52 = √4×13=2 √ 13 √54 = √6×9=3 √6
√56 = √4×14 =2 √ 14 √60 = √4×15=2 √ 15
(
七下数学平方根立方根
速记表
)
—2—
15以内的算数立方根
√ 1=1 √2≈ 1.260 √3≈ 1.442 √4≈ 1.587 5≈ 1.710
√6≈ 1.817 7≈ 1.913 8= 2 √9≈ 2.080 10≈ 2.154
11≈ 2.224 12≈ 2.289 13≈ 2.351 √ 14≈ 2.410 √ 15≈ 2.466
20以内的算数立方根(用于比较大小)
√ 1=1 √2≈ 1.414 √3≈ 1.732 √4= 2
√5≈ 2.236 √6≈ 2.449 √7≈ 2.646 √ 8≈2.828
√ 9=3 √ 10≈ 3.162 √ 11≈ 3.317 √ 12≈ 3.464
√ 13≈ 3.606 √ 14≈ 3.742 √ 15≈ 3.873 √ 16=4
√ 17≈ 4.123 √ 18≈ 4.243 √ 19≈ 4.359 √20≈ 4.472
—3—

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