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3A-9向量內積

Authored by 胡慧真 胡慧真

Mathematics

9th - 12th Grade

Used 7+ times

3A-9向量內積
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

正三角形 ΔABC\Delta ABC 中 AC→\overrightarrow{AC} 與 BC→\overrightarrow{BC} 的夾角為?

30°30\degree

45°45\degree

60°60\degree

120°120\degree

2.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

邊長為1的正三角形 ΔABC\Delta ABC 中 AC→\overrightarrow{AC} 與 BC→\overrightarrow{BC} 的內積為

−12\frac{-1}{2}

12\frac{1}{2}

−32\frac{-\sqrt[]{3}}{2}

32\frac{\sqrt[]{3}}{2}

3.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

若 a→=(a1,a2)\overrightarrow{a}=\left(a_1,a_2\right) 與 b→=(b1,b2)\overrightarrow{b}=\left(b_1,b_2\right) ,則 a→⋅b→\overrightarrow{a}\cdot\overrightarrow{b} 為?

a1a2b1b2a_1a_2b_1b_2

a1b1+a2b2a_1b_1+a_2b_2

a1b2+a2b1a_1b_2+a_2b_1

a1b2−a2b1a_1b_2-a_2b_1

4.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

設 a→=(1,2)\overrightarrow{a}=\left(1,2\right) 與 b→=(4,3)\overrightarrow{b}=\left(4,3\right) ,則 a→⋅b→\overrightarrow{a}\cdot\overrightarrow{b} 為?

24

10

11

-5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

設 ∣a→∣=3\left|\overrightarrow{a}\right|=3 ,則 a→⋅a→\overrightarrow{a}\cdot\overrightarrow{a} 為?

3

6

9

12

6.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

設 a→=(1,3)\overrightarrow{a}=\left(1,3\right) , b→=(6,t)\overrightarrow{b}=\left(6,t\right) ,若 a→⊥b→\overrightarrow{a}\perp\overrightarrow{b} ,則 t=?t=?

-18

-2

2

18

7.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

設 a→=(1,3)\overrightarrow{a}=\left(1,3\right) , b→=(6,t)\overrightarrow{b}=\left(6,t\right) ,若 a→∥b→\overrightarrow{a}\parallel\overrightarrow{b} ,則 t=?t=?

-18

-2

2

18

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