如图 7-39,已知BD为ABC的角平分线,CD为△ABC的外角∠ACE的平分线,与BD交于点D,是说明∠A=2∠D/%CE%D2%B0%AE%CA%FD%D1%A7oox/album/item/eb2bb8fa0bdf2a3.html
∵∠ACE=∠A+∠ABC∴2∠1=∠A+2∠2∠A=2(∠1-∠2)又∠1=∠2+∠D∴∠1-∠2=∠D∴∠A=2∠D
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∠A=2∠1-2∠2=2(∠1-∠2)=2∠D
∠1=1/2∠ACE∠1=∠2+∠D∠ACE=∠A+∠ABC所以∠2+∠D=1/2(∠A+∠ABC)而∠2=1/2∠ABC代入上式即可得证∠A=2∠D
∠A=2∠1-2∠2=2(∠1-∠2)=2∠D
扫描下载二维码如图,某广场上方有一个氢气球,小明喂测量氢气球距离的面的高度CD,在地面上相聚80米的A、B两点,测得∠CAD=43.8°,∠CBD=39.2°,已知ADB三点在同一条直线上,那么CD是多少.
乐乐我想你491
由题意得,CD⊥AB,AB=100,∠A=43.8°,∠B=39.2°在Rt△ACD中,AD=CD•tan43.8,在Rt△CDB中,DB=CD•tan39.2°AD+BD=CD（tan43.8°+tan39.2°）应该是这样吧.你继续做就可以了.
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各位亲，，咱能认真点做么，能把步骤写全么，，，很坑爹啊，，
在Rt△ACD中，AD=CD•tan43.8，在Rt△CDB中，DB=CD•tan39.2°AD+BD=CD（tan43.8°+tan39.2°）∴CD≈44.9438
扫描下载二维码在空间四边形ABCD中,E.H分别是AB.AD的中点,F.G分别是CB.CD的中点,若AC+BD=a,AC·BD=b,则EG2+FH2= . 题目和参考答案——精英家教网——
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在空间四边形ABCD中,E、H分别是AB、AD的中点,F、G分别是CB、CD的中点,若AC+BD=a,AC·BD=b,则EG2+FH2=_________.
答案:a2-b解析:由题设知EFAC,EHBD,∴四边形EFGH为平行四边形.∴EG2+FH2=2(EF2+EH2)=2(EF+EH)2-4EF·EH=(AC+BD)2-AC·BD=a2-b.
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科目：高中数学
8、在空间四边形ABCD的各边AB，BC，CD，DA上依次取点E，F，G，H，若EH、FG所在直线相交于点P，则（　　）A、点P必在直线AC上B、点P必在直线BD上C、点P必在平面DBC外D、点P必在平面ABC内
科目：高中数学
在空间四边形ABCD的边AB，BC，CD，DA上分别取E，F，G，H使AEEB=AHHD=1，CFFB=CGGD=12，则（　　）A．EF∥GHB．EF，GH是异面直线C．EF∩GH=M，且M在直线BD上D．EF∩GH=M，且M在直线AC上
科目：高中数学
在空间四边形ABCD中，连接AC、BD，若△BCD是正三角形，且E为其中心，则AB+12BC-32DE-AD化简后的结果为（　　）
A、ABB、2BDC、0D、2DE
科目：高中数学
（;顺义区一模）如图，已知在空间四边形ABCD中，AB=AC=DB=DC，E为BC的中点．（Ⅰ）求证：平面ADE⊥平面ABC；（Ⅱ）若AB=5，BC=6，AD=4，求几何体ABCD的体积；（Ⅲ）在（Ⅱ）的条件下，若G为△ABD的重心，试问在线段BC上是否存在点F，使GF∥平面ADE？若存在，请指出点F在BC上的位置，若不存在，请说明理由．
科目：高中数学
在空间四边形ABCD中，E，F，G，H分别是AB，BC，CD，DA的中点．若AC=BD=a，若四边形EFGH的面积为38a2，则异面直线AC与BD所成的角为（　　）A、30°B、60°C、120°D、60°或120°
精英家教网新版app上线啦！用app只需扫描书本条形码就能找到作业，家长给孩子检查作业更省心，同学们作业对答案更方便，扫描上方二维码立刻安装！>> fa96d0f8-101b-422f-a767-405be9a5f74f.htm
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