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電子課本網(wǎng) 第130頁

第130頁

信息發(fā)布者:
解:由題意得??$∠AOC=∠BOD.$??
∵??$B'$??與??$B$??點(diǎn)關(guān)于鏡面??$CD$??對稱,
∴??$OB'=OB$??,??$DB'=DB=4\ \mathrm {m}$??,??$∠BOD=∠B'OD.$??
∴??∠$AOC=∠B'OD$??,即??$A$??,??$O$??,??$B'$??三點(diǎn)共線??$.$??
∴入射光從點(diǎn)??$A$??到點(diǎn)??$B$??經(jīng)過的路程為??$OA+OB=OA+OB'=AB'.$??
∵四邊形??$ACDB$??是矩形,
∴??$∠ABB'=90°.$??
∴??$AB'=\sqrt {AB^2+BB'^2}=\sqrt {6^2+(4+4)^2}=10(\mathrm {m}).$??
故入射光從點(diǎn)??$A$??到點(diǎn)??$B$??經(jīng)過的路程為??$10\ \mathrm {m}.$??
3
解:??$(2) $??∵??$\sqrt {16}<\sqrt {17}<\sqrt {25}$??,
∴??$4<\sqrt {17}<5$??,
??$m=\sqrt {17}-4$??,
∵??$\sqrt {9}<\sqrt {11}<\sqrt {16}$??,
∴??$n=2$??
∴??$m+n-\sqrt {17}=\sqrt {17}-4+2-\sqrt {17}=-2.$??
3.5
解:??$(2)S_{△DEF}=3×5-\frac {1}{2}×1×3$??
??$-\frac {1}{2}×1×4-\frac {1}{2}×2×5=\frac {13}{2}$??
??$(3)$??由??$(2)$??可知??$ S_{△PQR}=8$??,
∴六邊形綠化區(qū)??$ABCDEF $??的面積為:
??$S_{正方形ABQP}+S_{正方形RQDC}+S_{正方形EFPR}$??
??$+4S_{△PQR}$??
??$=13+20+29+8×4$??
??$=94$??