Trắc nghiệm Tích vô hướng của hai vectơ Toán Lớp 10

A. $\widehat{A}=45^{\circ}$

B. $\widehat{A}=17^{\circ}$

C. $\widehat{A}=60^{\circ}$

D. $\widehat{A}=5^{\circ}$

A. $\widehat{B} =45 ^{\circ}$

B. $\widehat{B} \approx 77^{\circ} 47^{\prime}$

C. $\widehat{B} \approx 38^{\circ} 51^{\prime}$

D. $\widehat{B} \approx 81^{\circ} 47^{\prime}$

A. $\widehat{C} \approx 38^{\circ} 13^{\prime}$

B. $\widehat{C} \approx 51^{\circ} 13^{\prime}$

C. $\widehat{C} \approx 11^{\circ} 13^{\prime}$

D. $\widehat{C} \approx 23^{\circ} 13^{\prime}$

A. $A M=\frac{\sqrt{209}}{2}$

B. $A M=\frac{\sqrt{101}}{2}$

C. $A M=\frac{\sqrt{152}}{2}$

D. $A M=\frac{5\sqrt{37}}{2}$

A. $B D=2 \sqrt{11}$

B. $B D=11 \sqrt{11}$

C. $B D=2 \sqrt{17}$

D. $B D=5 \sqrt{11}$

A. $C F=\frac{\sqrt{101}}{2}$

B. $C F=\frac{\sqrt{15}}{2}$

C. $C F=\frac{\sqrt{41}}{2}$

D. $C F=\frac{\sqrt{11}}{2}$

A. $11 \sqrt{2}$

B. $4 \sqrt{2}$

C. $21 \sqrt{2}$

D. $15 \sqrt{2}$

A. $\frac{17 \sqrt{2}}{3}$

B. $\frac{21 \sqrt{2}}{3}$

C. $\frac{11 \sqrt{2}}{3}$

D. $\frac{10 \sqrt{2}}{3}$

A. $\frac{ \sqrt{2}}{9}$

B. $\frac{11 \sqrt{2}}{9}$

C. $\frac{10 \sqrt{2}}{9}$

D. $\frac{20 \sqrt{2}}{9}$

A. $15\sqrt 7$

B. $\frac{11 \sqrt{2}}{8}$

C. $\frac{15 \sqrt{5}}{8}$

D. $\frac{27 \sqrt{2}}{8}$

A. $5 \sqrt{2}$

B. $\sqrt{2}$

C. $\sqrt{2}+5$

D. $10 \sqrt{2}$

A. $10 \sqrt{2}$

B. 5

C. $10 \sqrt{5}$

D. $10 \sqrt{10}$

A. 21

B. 5

C. 10

D. $\sqrt 5$

A. $\hat{A} \approx 51^{o} 35^{'}$

B. $\hat{A} \approx 44^{o} 35^{'}$

C. $\hat{A} \approx 23^{o} 35^{'}$

D. $\hat{A} \approx 31^{o} 35^{'}$

A. $\widehat{B} \approx 21^{\circ}57'$

B. $\widehat{B} \approx 38^{\circ}57'$

C. $\widehat{B} \approx 167^{\circ}57'$

D. $\widehat{B} \approx 115^{\circ}57'$

A. $\widehat{C} \approx 109^{\circ} 28^{\prime}$

B. $\widehat{C} \approx 46^{\circ} 28^{\prime}$

C. $\widehat{C} \approx 89^{\circ} 28^{\prime}$

D. $\widehat{C} \approx 154^{\circ} 28^{\prime}$

A. $A M=\frac{\sqrt{15}}{2}$

B. $A M=\frac{\sqrt{233}}{2}$

C. $A M=\frac{\sqrt{41}+5}{2}$

D. $A M=\frac{\sqrt{41}}{2}$

A. $B D=2 \sqrt{23}$

B. $B D=3+ \sqrt{23}$

C. $B D=5 \sqrt{22}$

D. $B D=5 \sqrt{11}$

A. $C F=\frac{\sqrt{3}+1}{2}$

B. $C F=\frac{\sqrt{5}}{2}$

C. $C F=\frac{11-\sqrt{113}}{2}$

D. $C F=\frac{\sqrt{113}}{2}$

A. $\frac{4 \sqrt{12}}{9}$

B. $\frac{4 \sqrt{5}}{9}$

C. $\frac{4 \sqrt{11}}{9}$

D. $\frac{4 \sqrt{182}}{9}$

A. $\frac{2 \sqrt{51}}{3}$

B. $\frac{2 \sqrt{182}}{3}$

C. $\frac{2 \sqrt{59}}{3}$

D. $\frac{2 \sqrt{3}}{3}$

A. $\frac{4 \sqrt{101}}{11}$

B. $\frac{4 \sqrt{11}}{11}$

C. $\frac{4 \sqrt{46}}{11}$

D. $\frac{4 \sqrt{57}}{11}$

A. $\frac{ \sqrt{182}}{728}$

B. $\frac{297 \sqrt{182}}{728}$

C. $\frac{55 \sqrt{182}}{728}$

D. $\frac{121 \sqrt{182}}{728}$

A. $\frac{2 \sqrt{11}}{13}$

B. $\frac{2 \sqrt{13}}{13}$

C. $\frac{2 \sqrt{122}}{13}$

D. $\frac{14 \sqrt{7}}{13}$

A. $2 \sqrt{131}$

B. $2 \sqrt{182}$

C. $2 \sqrt{57}$

D. $2 \sqrt{115}$

A. 13

B. 21

C. 11

D. 5

A. $\hat{A} \approx 11^{\circ} 51^{'}$

B. $\hat{A} \approx 101^{\circ} 51^{'}$

C. $\hat{A} \approx 54^{\circ} 51^{'}$

D. $\hat{A} \approx 89^{\circ} 51^{'}$

A. $\widehat{B} \approx 77^{\circ} 2^{'}$

B. $\widehat{B} \approx 21^{\circ} 2^{'}$

C. $\widehat{B} \approx 41^{\circ} 2^{'}$

D. $\widehat{B} \approx 33^{\circ} 2^{'}$

A. $\widehat{C} \approx 92^{\circ} 7^{'}$

B. $\widehat{C} \approx 18^{\circ} 7^{'}$

C. $\widehat{C} \approx 52^{\circ} 24^{'}$

D. $\widehat{C} \approx 45^{\circ} 7^{'}$

A. 11,4

B. 7,2

C. 1,5

D. 2,1

A. 2,4

B. 1,3

C. 1,8

D. 2,7

A. $C F \approx 11$

B. $C F \approx 1,8$

C. $C F \approx 2,1$

D. $C F \approx 3,4$

A. $\frac{\sqrt{6}+2}{2}$

B. $\frac{\sqrt{6}+\sqrt{2}}{2}$

C. $\frac{\sqrt{6}+1}{2}$

D. $\frac{\sqrt{6}+\sqrt{3}}{2}$

A. $\frac{3+\sqrt{3}}{2}$

B. $\frac{\sqrt{3}}{2}$

C. $\frac{\sqrt{3}+\sqrt 6}{2}$

D. $\frac{3\sqrt{3}}{2}$

A. $\sqrt{3}$

B. $\sqrt{3} +1$

C. $\sqrt{3}-1$

D. $\sqrt 3+\sqrt 6$

A. $R=\sqrt{2}+\sqrt 3$

B. $R=1-\sqrt{2}$

C. $R=\sqrt{2}$

D. $R=\sqrt{2}-1$

A. $\frac{\sqrt{3}+\sqrt{6}}{2}$

B. $\frac{\sqrt{3}+3+\sqrt{6}}{2}$

C. $\frac{3+\sqrt{6}}{2}$

D. $\frac{\sqrt{3}+1+\sqrt{6}}{2}$

A. $S=\frac{\sqrt{3}-1}{2}$

B. $S=\frac{\sqrt{3}+1}{2}$

C. $S=\frac{\sqrt{3}}{2}$

D. $S=\frac{\sqrt{3}+3}{2}$

A. $\frac{\sqrt{3}-\sqrt{2}+1}{2}$

B. $\frac{\sqrt{3}-1}{2}$

C. $\frac{\sqrt{3}}{2}$

D. $\frac{\sqrt{3}+\sqrt{5}+1}{2}$

A. $\hat{A}=51^{\circ}$

B. $\hat{A}=45^{\circ}$

C. $\hat{A}=60^{\circ}$

D. $\hat{A}=70^{\circ}$

A. $\hat{B}=11^{0}$

B. $\hat{B}=51^{0}$

C. $\hat{B}=45^{0}$

D. $\hat{B}=91^{0}$

A. $\widehat{C}=75^{0}$

B. $\widehat{C}=21^{0}$

C. $\widehat{C}=90^{0}$

D. $\widehat{C}=17^{0}$

A. $A M=\frac{\sqrt{57}}{2}$

B. $A M=\frac{\sqrt{265}}{2}$

C. $A M=\frac{\sqrt{51}}{2}$

D. $A M=\frac{\sqrt{131}}{2}$

A. $\frac{\sqrt{123}}{2}$

B. $\frac{\sqrt{17}}{2}$

C. $\frac{\sqrt{57}}{2}$

D. $\frac{\sqrt{721}}{2}$

A. $C F=\frac{\sqrt{21}}{2}$

B. $C F=\frac{\sqrt{13}}{2}$

C. $C F=\frac{\sqrt{17}}{2}$

D. $C F=\frac{\sqrt{349}}{2}$

A. $\frac{4 \sqrt{115}}{7}$

B. $\frac{ \sqrt{115}}{7}$

C. $\frac{9 \sqrt{115}}{7}$

D. $\frac{11 \sqrt{115}}{7}$

A. $\frac{6 \sqrt{115}}{17}$

B. $\frac{12 \sqrt{115}}{17}$

C. $\frac{11 \sqrt{115}}{17}$

D. $\frac{5 \sqrt{115}}{17}$

A. $\frac{7 \sqrt{115}}{2}$

B. $\frac{11 \sqrt{115}}{2}$

C. $\frac{ \sqrt{115}}{2}$

D. $\frac{3 \sqrt{115}}{2}$

A. $\frac{13 \sqrt{115}}{115}$

B. $\frac{ \sqrt{115}}{115}$

C. $\frac{23 \sqrt{115}}{115}$

D. $\frac{119 \sqrt{115}}{115}$

A. $6 \sqrt{11}$

B. $6 \sqrt{71}$

C. $6 \sqrt{171}$

D. $6 \sqrt{115}$