如图,在三角形MPN中,MP=NP,角MPN=90度,NQ垂直于PQ,MS垂直于PQ,垂足分别为Q、S,QS=3.5cm,NQ=2.1cm,
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如图,在三角形MPN中,MP=NP,角MPN=90度,NQ垂直于PQ,MS垂直于PQ,垂足分别为Q、S,QS=3.5cm,NQ=2.1cm,
如图,在三角形MPN中,MP=NP,角MPN=90度,NQ垂直于PQ,MS垂直于PQ,垂足分别为Q、S,QS=3.5cm,NQ=2.1cm,
如图,在三角形MPN中,MP=NP,角MPN=90度,NQ垂直于PQ,MS垂直于PQ,垂足分别为Q、S,QS=3.5cm,NQ=2.1cm,
图呢?缺图缺问题
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设PQ交MN于A,角MSA=角AQN=90°,角MAS=QAN
三角形AMS相似三角形AQN
角AMS=角ANQ
又角MPS=90°-角PMS=90°-(45°-角AMS)=45°+角AMS=45°+角ANQ
=角PNQ
MP=NP,角PSM=角PQN=90°
三角形MPS全等PNQ
PS=NQ=2.1,MS=PQ=PS+SQ=2.1+3.5=5.6
图
设PQ交MN于A,角MSA=角AQN=90°,角MAS=QAN
三角形AMS相似三角形AQN
角AMS=角ANQ
又角MPS=90°-角PMS=90°-(45°-角AMS)=45°+角AMS=45°+角ANQ
=角PNQ
MP=NP,角PSM=角PQN=90°
三角形MPS全等PNQ
PS=NQ=2.1,MS=PQ=PS+SQ=2.1+3.5=5.6
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MS=3.6CM
5.6
∵MS⊥PQ, MP⊥PN
∴∠MPS+∠PMS=90°
∠MPS+∠QPN=90°
∴∠PMS=∠QPN
即:∠MPS=∠PNQ
∵MP=NP
∴⊿PMS≌⊿PNQ(ASA)
∴PS=QN=2.1
∴MS=PQ=PS+QS=2.1+3.5=5.6cm
角MPS=90°-角PMS=90°-(45°-角AMS)=45°+角AMS=45°+角ANQ
=角PNQ
MP=NP,角PSM=角PQN=90°
三角形MPS全等PNQ
PS=NQ=2.1,MS=PQ=PS+SQ=2.1+3.5=5.6