Trắc nghiệm Hình học 12 Chương 1 Khối đa diện

A. \(V=\frac{1}{6}\) 

B.  \(V=\frac{1}{12}\) 

C.  \(V=\frac{1}{3}\) 

D.  \(V=\frac{2}{3}\)

A.  \(h = \frac{a}{2}\)

B.  \(h = a\) 

C.  \(h = \frac{3a}{4}\) 

D.  \(h = 3a\)

A.  \(V_{1} =\frac{V}{4}\)

B.  \(V_{1} =\frac{V}{3}\) 

C.  \(V_{1} =\frac{V}{2}\) 

D.  \(V_{1} =\frac{2}{3}V\)

A. \(S=2200\sqrt {346} \,\left( {{m^2}} \right)\)

B.  \(S=4400\sqrt {346} \left( {{m^2}} \right)\)

C.  \(S=2420000\left( {{m^3}} \right)\)

D.

A.  \(h = \frac{{\sqrt 3 a}}{2}\)

B.  \(h = \frac{{a\sqrt 3 }}{7}\)

C.  \(h = \frac{{a\sqrt {21} }}{2}\)

D.  \(h = \frac{{3a}}{5}\)

A.  \(d = \frac{{6{\rm{a}}\sqrt {195} }}{{65}}\)

B.  \(d = \frac{{{\rm{a}}\sqrt {195} }}{{65}}\)

C.  \(d = \frac{{4{\rm{a}}\sqrt {195} }}{{65}}\)

D.  \(d = \frac{{8{\rm{a}}\sqrt {195} }}{{195}}\)

A. \(V = {a^3}\)

B.  \(V = \frac{{{a^3}}}{3}\) 

C.  \(V = \frac{{2{a^3}}}{3}\)

D.  \(V = 3a^3\)

A. \(V = \frac{{{a^3}\sqrt 3 }}{6}\)

B. \(V = \frac{{{a^3}\sqrt 3 }}{2}\)

C. \(V = {a^3}\sqrt 3\)

D. \(V = 2{a^3}\sqrt 3\)

A. \(d = \frac{{a\sqrt 3 }}{2}\)  

B. \(d = \frac{{a\sqrt 3 }}{4}\) 

C. \(d = \frac{{a\sqrt 3 }}{3}\) 

D. \(d = a\sqrt 3\)

A. \(k = \frac{{ - 1 + \sqrt 3 }}{2}\)

B. \(k = \frac{{ - 1 + \sqrt 5 }}{2}\)

C. \(k = \frac{{ - 1 + \sqrt 2 }}{2}\)

D. \(k = \frac{{ - 1 + \sqrt 5 }}{2}\)

A. \(\frac{40}{3}\)

B. \(\frac{80}{3}\)

C. \(\frac{20}{3}\)

D. 24

A. \(\frac{1}{6}\)

B. \(\frac{1}{12}\)

C. \(\frac{{\sqrt 2 }}{{12}}\)

D. \(\frac{{\sqrt 3 }}{{12}}\)

A. \({V_{\max }} = \frac{{130}}{3}.\)

B. \({V_{\max }} = \frac{{128}}{3}.\)

C. \({V_{\max }} = \frac{{125}}{3}.\)

D. \({V_{\max }} = \frac{{250}}{3}.\)

A. \({V_{\max }} = \frac{{2\sqrt 3 }}{9}.\)

B. \({V_{\max }} = \frac{{2\sqrt 3 }}{3}.\)

C. \({V_{\max }} = \frac{{2\sqrt 3 }}{27}.\)

D. \({V_{\max }} = \frac{{4\sqrt 3 }}{27}.\)

A. \({V_{\max }} = \frac{{8{a^3}}}{3}.\)

B. \({V_{\max }} = \frac{{4\sqrt6{a^3}}}{3}.\)

C. \({V_{\max }} = 8a^3\)

D. \({V_{\max }} = 4\sqrt6a^3\)

A. \({V_{\max }} = \frac{1}{4}.\)

B. \({V_{\max }} = \frac{1}{3}.\)

C. \({V_{\max }} = \frac{1}{12}.\)

D. \({V_{\max }} = \frac{1}{6}.\)

A. \({V_{\max }} = \frac{{\sqrt 3 }}{{12}}.\)

B. \({V_{\max }} = \frac{{\sqrt 2 }}{{12}}.\)

C. \({V_{\max }} = \frac{{2\sqrt 3 }}{{27}}.\)

D. \({V_{\max }} = \frac{{\sqrt 3 }}{{27}}.\)

A. \({V_{\max }} = \frac{5}{8}.\)

B. \({V_{\max }} = \frac{5}{4}.\)

C. \({V_{\max }} = \frac{2}{3}.\)

D. \({V_{\max }} = \frac{4}{3}.\)

A. \({V_{\max }} = \frac{{{a^3}\sqrt 3 }}{3}\)

B. \({V_{\max }} = \frac{{{a^3}\sqrt 3 }}{8}\)

C. \({V_{\max }} = \frac{{{a^3}\sqrt 3 }}{9}\)

D. \({V_{\max }} = \frac{{{a^3}\sqrt 3 }}{27}\)

A. \(\frac{40}{3}\)

B. 40

C. 80

D. \(\frac{80}{3}\)

A. \({V_{\max }} = \frac{1}{4}.\)

B. \({V_{\max }} = \frac{1}{8}.\)

C. \({V_{\max }} = \frac{1}{12}.\)

D. \({V_{\max }} = \frac{1}{16}.\)

A. \(x = 3\sqrt 2 .\)

B. \(x = \sqrt 6 .\)

C. \(x = 2\sqrt 3 .\)

D. \(x = 2\sqrt 7 .\)

A. \({V_{\max }} = \frac{{{a^3}}}{6}.\)

B. \({V_{\max }} = \frac{{{a^3}}}{8}.\)

C. \({V_{\max }} = \frac{{{a^3}}}{24}.\)

D. \({V_{\max }} = \frac{{{a^3}}}{32}.\)

A. \({V_{\max }} = \frac{{abc\sqrt 2 }}{4}.\)

B. \({V_{\max }} = \frac{{abc\sqrt 2 }}{8}.\)

C. \({V_{\max }} = \frac{{abc\sqrt 2 }}{24}.\)

D. \({V_{\max }} = \frac{{abc\sqrt 2 }}{12}.\)

A. \({V_{\max }} = \frac{{{a^3}}}{6}.\)

B. \({V_{\max }} = \frac{{{a^3}\sqrt 6 }}{{72}}.\)

C. \({V_{\max }} = \frac{{{a^3}\sqrt 3 }}{{24}}.\)

D. \({V_{\max }} = \frac{{{a^3}}}{{48}}.\)

A. \({V_{\max }} = \frac{{56\sqrt 3 }}{9}.\)

B. \({V_{\max }} = \frac{{80\sqrt 3 }}{9}.\)

C. \({V_{\max }} = \frac{{70\sqrt 3 }}{9}.\)

D. \({V_{\max }} = \frac{{64\sqrt 3 }}{9}.\)

A. \(\sqrt[3]{{4V}}.\)

B. \(\sqrt[3]{V}.\)

C. \(\sqrt[3]{{2V}}.\)

D. \(\sqrt[3]{{6V}}.\)

A. \(x = \frac{{\sqrt 3 }}{3}.\)

B. \(x = \frac{{\sqrt 2 }}{2}.\)

C. \(x = \frac{{\sqrt 6 }}{2}.\)

D. \(x = \frac{{\sqrt 3 }}{2}.\)

A. \(\frac{1}{3}\)

B. \(\frac{\sqrt3}{3}\)

C. \(\frac{\sqrt2}{2}\)

D. \(​​​​\frac{2}{3}\)