(中科大2019)已知平面坐标系上三点$A(1,0),B(0,1),C(x,dfrac{1}{sqrt{x}})$求$Delta ABC$面积的最小值___
分析:$S_{Delta ABC}=dfrac{1}{2}
left|egin{array}{cccc}
1 & 0 & 1 \
0 & 1 & 1\
x & dfrac{1}{sqrt{x}} & 1
end{array}
ight|
=dfrac{1}{2}(x+dfrac{1}{sqrt{x}}-1)gedfrac{1}{2}(3*4^{-frac{1}{3}}-1) $