csat-suneung 2012 Q21

csat-suneung · South-Korea · csat__math-science 4 marks Vectors 3D & Lines MCQ: Cross-Section or Surface Area of a Solid

In coordinate space, triangle ABC satisfies the following conditions. (가) The area of triangle ABC is 6. (나) The area of the orthogonal projection of triangle ABC onto the $yz$-plane is 3.
What is the maximum area of the orthogonal projection of triangle ABC onto the plane $x - 2 y + 2 z = 1$? [4 points]
(1) $2 \sqrt { 6 } + 1$
(2) $2 \sqrt { 2 } + 3$
(3) $3 \sqrt { 5 } - 1$
(4) $2 \sqrt { 5 } + 1$
(5) $3 \sqrt { 6 } - 2$

In coordinate space, triangle ABC satisfies the following conditions.\\
(가) The area of triangle ABC is 6.\\
(나) The area of the orthogonal projection of triangle ABC onto the $yz$-plane is 3.

What is the maximum area of the orthogonal projection of triangle ABC onto the plane $x - 2 y + 2 z = 1$? [4 points]\\
(1) $2 \sqrt { 6 } + 1$\\
(2) $2 \sqrt { 2 } + 3$\\
(3) $3 \sqrt { 5 } - 1$\\
(4) $2 \sqrt { 5 } + 1$\\
(5) $3 \sqrt { 6 } - 2$

Paper Questions

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