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電子課本網(wǎng) 第70頁(yè)

第70頁(yè)

信息發(fā)布者:
?$\frac {12}{13}$?
?$\frac {5}{13}$?
?$\frac {5}{12}$?
解:∵在?$ABC$?中,?$∠B=90°$?
①當(dāng)?$AC=4,$??$BC=3$?時(shí),?$AB=\sqrt{AC2-BC2}=\sqrt{7}$?
?$sin C =\frac {AB}{AC}=\frac {\sqrt{7}}{4}$?
②當(dāng)?$AB=3,$??$BC=4$?時(shí),?$AC=\sqrt{AB2+BC2}=5$?
?$sin C=\frac {AB}{AC}=\frac {3}{5}$?
綜上,最小角的正弦值為?$\frac {\sqrt 7}4$?或?$\frac 35$?
B
A
6
1
$解:原式=sin21°+sin289°+sin22°+sin288°+...+sin244°+sin246°+sin245°$
                $=1+1+1+...+1+\frac{1}{2}$
                $=44\frac{1}{2}$

解:過點(diǎn)?$P $?作?$PC⊥OB$?交?$OB$?于點(diǎn)?$C$?
∵?$sin α=\frac {PC}{OP}=\frac {4}{5}$?
∴?$PC=8,$??$OC=\sqrt{OP2-PC2}= 6$?
∵?$PM=PN,$??$PC⊥OB,$??$MN=2$?
∴?$MC= NC=1$?
∴?$OM=OC-MC= 5$?
?$tan∠PMN=\frac {PC}{MC}=8$?