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　次の問いに答えよ．
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\item[(1)]$xy$平面上で，次の不等式を満たす点$(x, \, y)$の存在する領域を図示せよ．
\[ {100}^{\log_{10}x}+\log_{1000}{\left( \frac{1}{100} \right)}^x+
{10}^{(\log_{10}y-\log_{10}3)}\leqq0 \]
\item[(2)]点$(x, \, y)$が(1)の領域を動くとき，
\[ u=\sin({360}^\circ \times (x+y))-\sqrt3 \, \cos({360}^\circ \times (x+y)) \]
がとる値の範囲を求めよ．
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