‹동국대 2026학년도 5번

기출 동국대 2026학년도 5번

오류 신고

곡면 z=sin⁡(xy)z= \sin \left (x y \right) 위의 점 (π6,1,12)\displaystyle \left (\frac{\pi} {6}, 1, \frac{1} {2} \right) 에서의 접평면의 방정식은?

  • ①12(x−π6)+π12(y−1)−(z−12)=0\displaystyle \frac{1} {2} \left (x- \frac{\pi} {6} \right) + \frac{\pi} {12} \left (y-1 \right) - \left (z- \frac{1} {2} \right) =0
  • ②12(x−π6)−π12(y−1)−(z−12)=0\displaystyle \frac{1} {2} \left (x- \frac{\pi} {6} \right) - \frac{\pi} {12} \left (y-1 \right) - \left (z- \frac{1} {2} \right) =0
  • ③22(x−π6)+2π12(y−1)−(z−12)=0\displaystyle \frac{\sqrt {2}} {2} \left (x- \frac{\pi} {6} \right) + \frac{\sqrt {2} \pi} {12} \left (y-1 \right) - \left (z- \frac{1} {2} \right) =0
  • ④32(x−π6)+3π12(y−1)−(z−12)=0\displaystyle \frac{\sqrt {3}} {2} \left (x- \frac{\pi} {6} \right) + \frac{\sqrt {3} \pi} {12} \left (y-1 \right) - \left (z- \frac{1} {2} \right) =0
  • ⑤32(x−π6)−3π12(y−1)−(z−12)=0\displaystyle \frac{\sqrt {3}} {2} \left (x- \frac{\pi} {6} \right) - \frac{\sqrt {3} \pi} {12} \left (y-1 \right) - \left (z- \frac{1} {2} \right) =0