第三堂課(乘法公式)

Authored by 胡立信lixinhu 胡立信lixinhu

Mathematics

10th Grade

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20 questions

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FILL IN THE BLANKS QUESTION

1 min • 1 pt

將 $\frac{7}{4}$ 換成小數

(a)

FILL IN THE BLANKS QUESTION

1 min • 1 pt

將 $\frac{11}{40}$ 換成小數

(a)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

已知循環小數 $a=0.\overline{213},b=0.2\overline{13},c=0.21\overline{3}$ ，比較a,b,c的大小關係

a=b=c

a>b>c

c>a>b

c>b>a

MULTIPLE CHOICE QUESTION

1 min • 1 pt

將循環小數 $0.\overline{25}$ 轉換成分數

$\frac{25}{90}$

$\frac{1}{4}$

$\frac{23}{99}$

$\frac{25}{99}$

FILL IN THE BLANKS QUESTION

1 min • 1 pt

已知a,b是有理數，且 $a+b\sqrt[]{3}=5\sqrt[]{3}$ ，則a+b=?

(a)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

已知a,b是實數，且 $\left(3+5\sqrt[]{2}\right)a+\left(2-\sqrt[]{2}\right)b=-1+7\sqrt[]{2}$ ，則(a,b)=?

(3,-1)

(1,-2)

(0,0)

無限多解

MULTIPLE CHOICE QUESTION

1 min • 1 pt

已知a,b是有理數，且 $\left(3+5\sqrt[]{2}\right)a+\left(2-\sqrt[]{2}\right)b=-1+7\sqrt[]{2}$ ，則(a,b)=?

(3,-1)

(1,-2)

(0,0)

無限多解

MULTIPLE CHOICE QUESTION

1 min • 1 pt

下列何者與相同？ $a^2-b^2$

$\left(a+b\right)^2$

$\left(a-b\right)^2$

$\left(a+b\right)\left(a-b\right)$

$\left(a+b+c\right)^2$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\left(a+b\right)^3=?$

$a^3+3a^2b+3ab^2+b^3$

$a^3-3a^2b-3ab^2-b^3$

$a^3+b^3$

$a^3-b^3$

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\left(a-b\right)^3=?$

$a^3+3a^2b+3ab^2+b^3$

$a^3-3a^2b-3ab^2-b^3$

$a^3-3a^2b+3ab^2-b^3$

$a^3-b^3$

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第三堂課(乘法公式)

將 74\frac{7}{4}47​ 換成小數 (a)

將 1140\frac{11}{40}4011​ 換成小數 (a)

已知循環小數 a=0.213‾,b=0.213‾,c=0.213‾a=0.\overline{213},b=0.2\overline{13},c=0.21\overline{3}a=0.213,b=0.213,c=0.213 ，比較a,b,c的大小關係

將循環小數 0.25‾0.\overline{25}0.25 轉換成分數

已知a,b是有理數，且 a+b3=53a+b\sqrt[]{3}=5\sqrt[]{3}a+b3​=53​ ，則a+b=? (a)

已知a,b是實數，且 (3+52)a+(2−2)b=−1+72\left(3+5\sqrt[]{2}\right)a+\left(2-\sqrt[]{2}\right)b=-1+7\sqrt[]{2}(3+52​)a+(2−2​)b=−1+72​ ，則(a,b)=?

已知a,b是有理數，且 (3+52)a+(2−2)b=−1+72\left(3+5\sqrt[]{2}\right)a+\left(2-\sqrt[]{2}\right)b=-1+7\sqrt[]{2}(3+52​)a+(2−2​)b=−1+72​ ，則(a,b)=?

下列何者與相同？ a2−b2a^2-b^2a2−b2

(a+b)3=?\left(a+b\right)^3=?(a+b)3=?

(a−b)3=?\left(a-b\right)^3=?(a−b)3=?

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將 $\frac{7}{4}$ 換成小數

(a)

將 $\frac{11}{40}$ 換成小數

(a)

已知循環小數 $a=0.\overline{213},b=0.2\overline{13},c=0.21\overline{3}$ ，比較a,b,c的大小關係

將循環小數 $0.\overline{25}$ 轉換成分數

已知a,b是有理數，且 $a+b\sqrt[]{3}=5\sqrt[]{3}$ ，則a+b=?

(a)

已知a,b是實數，且 $\left(3+5\sqrt[]{2}\right)a+\left(2-\sqrt[]{2}\right)b=-1+7\sqrt[]{2}$ ，則(a,b)=?

已知a,b是有理數，且 $\left(3+5\sqrt[]{2}\right)a+\left(2-\sqrt[]{2}\right)b=-1+7\sqrt[]{2}$ ，則(a,b)=?

下列何者與相同？ $a^2-b^2$

$\left(a+b\right)^3=?$

$\left(a-b\right)^3=?$