初二上册数学全等三角形难题!!!!!!!!!!!!!!! 人教版八年级上册数学之全等三角形的难题有哪些啊？越多越好！！...
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2\u3001\u5df2\u77e5\uff1a\u5982\u56fe\uff0cP\u662f\u6b63\u65b9\u5f62ABCD\u5185\u70b9\uff0c\u2220PAD\uff1d\u2220PDA\uff1d150\uff0e
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3\u3001\u5982\u56fe\uff0c\u5df2\u77e5\u56db\u8fb9\u5f62ABCD\u3001A1B1C1D1\u90fd\u662f\u6b63\u65b9\u5f62\uff0cA2\u3001B2\u3001C2\u3001D¬2\u5206\u522b\u662fAA1\u3001BB1\u3001CC1\u3001DD1\u7684\u4e2d\u70b9\uff0e
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4\u3001\u5df2\u77e5\uff1a\u5982\u56fe\uff0c\u5728\u56db\u8fb9\u5f62ABCD\u4e2d\uff0cAD\uff1dBC\uff0cM\u3001N\u5206\u522b\u662fAB\u3001CD\u7684\u4e2d\u70b9\uff0cAD\u3001BC\u7684\u5ef6\u957f\u7ebf\u4ea4MN\u4e8eE\u3001F\uff0e
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2\u3001\u8bbeMN\u662f\u5706O\u5916\u4e00\u76f4\u7ebf\uff0c\u8fc7O\u4f5cOA\u22a5MN\u4e8eA\uff0c\u81eaA\u5f15\u5706\u7684\u4e24\u6761\u76f4\u7ebf\uff0c\u4ea4\u5706\u4e8eB\u3001C\u53caD\u3001E\uff0c\u76f4\u7ebfEB\u53caCD\u5206\u522b\u4ea4MN\u4e8eP\u3001Q\uff0e
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3\u3001\u5982\u679c\u4e0a\u9898\u628a\u76f4\u7ebfMN\u7531\u5706\u5916\u5e73\u79fb\u81f3\u5706\u5185\uff0c\u5219\u7531\u6b64\u53ef\u5f97\u4ee5\u4e0b\u547d\u9898\uff1a
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3\u3001\u8bbeP\u662f\u6b63\u65b9\u5f62ABCD\u4e00\u8fb9BC\u4e0a\u7684\u4efb\u4e00\u70b9\uff0cPF\u22a5AP\uff0cCF\u5e73\u5206\u2220DCE\uff0e
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4\u3001\u5982\u56fe\uff0cPC\u5207\u5706O\u4e8eC\uff0cAC\u4e3a\u5706\u7684\u76f4\u5f84\uff0cPEF\u4e3a\u5706\u7684\u5272\u7ebf\uff0cAE\u3001AF\u4e0e\u76f4\u7ebfPO\u76f8\u4ea4\u4e8eB\u3001D\uff0e\u6c42\u8bc1\uff1aAB\uff1dDC\uff0cBC\uff1dAD\uff0e\uff08\u521d\u4e09\uff09
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2\u3001\u8bbeP\u662f\u5e73\u884c\u56db\u8fb9\u5f62ABCD\u5185\u90e8\u7684\u4e00\u70b9\uff0c\u4e14\u2220PBA\uff1d\u2220PDA\uff0e
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1\u3001\u8bbeP\u662f\u8fb9\u957f\u4e3a1\u7684\u6b63\u25b3ABC\u5185\u4efb\u4e00\u70b9\uff0cl\uff1dPA\uff0bPB\uff0bPC\uff0c\u6c42\u8bc1\uff1a\u2264l\uff1c2\uff0e
2\u3001\u5df2\u77e5\uff1aP\u662f\u8fb9\u957f\u4e3a1\u7684\u6b63\u65b9\u5f62ABCD\u5185\u7684\u4e00\u70b9\uff0c\u6c42PA\uff0bPB\uff0bPC\u7684\u6700\u5c0f\u503c\uff0e
3\u3001P\u4e3a\u6b63\u65b9\u5f62ABCD\u5185\u7684\u4e00\u70b9\uff0c\u5e76\u4e14PA\uff1da\uff0cPB\uff1d2a\uff0cPC\uff1d3a\uff0c\u6c42\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\uff0e
4\u3001\u5982\u56fe\uff0c\u25b3ABC\u4e2d\uff0c\u2220ABC\uff1d\u2220ACB\uff1d800\uff0cD\u3001E\u5206\u522b\u662fAB\u3001AC\u4e0a\u7684\u70b9\uff0c\u2220DCA\uff1d300\uff0c\u2220EBA\uff1d200\uff0c\u6c42\u2220BED\u7684\u5ea6\u6570\uff0e
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\u5e73\u884c\u56db\u8fb9\u5f62ABCD\u4e2d\uff0c\u70b9E\u5728\u8fb9AD\u4e0a\uff0c\u4ee5BE\u4e3a\u6298\u75d5\uff0c\u964d\u25b3ABE\u5411\u4e0a\u7ffb\u6298\uff0c\u70b9A\u6b63\u597d\u843d\u5728CD\u8fb9\u4e0a\u7684\u70b9F\u5904\uff0c\u82e5\u25b3FDE\u7684\u5468\u957f\u4e3a8\uff0c\u25b3FCB\u7684\u5468\u957f\u4e3a22\uff0c\u5219FC\u7684\u957f\u4e3a\u591a\u5c11\uff1f
\u7b2c\u4e8c\u9898\u25b3ABC\u4e2d\uff0cAB=AC\uff0cDE//BA\u4ea4AC\u4e8eE\uff0cDF//CA\u4ea4AB\u4e8eF\uff0c\u8fde\u63a5EF\u3001AD\uff0c\u90a3\u4e48\u662f\u5426\u6709\u4ee5\u4e0b\u7ed3\u8bba\uff1f\u8bf4\u660e\u7406\u7531\u30021\uff09AD\u4e0eEF\u4e92\u76f8\u5e73\u52062\uff09AE=BF
如图，在△ABC中，BD是∠ABC的平分线，在△ABC外取一点E，使得∠EAB=∠ACB，AE=DC，并且线段ED与线段AB相交，交点记为K，过E作EI⊥AB于I。问线段EK与DK有怎样的大小关系？并说明理由。
证明：如果一个三角形两个角的角平分线相等,试证明这个三角形为等腰三角形
图在哪？题在哪？
绛旓細濡傚浘,鈻矨BC鏄涓夎褰,D,E,F鍒嗗埆鏄悇杈涓鐨勪竴鐐,涓擜E=2EB,EF=ED,鈭燜ED=60掳锛 锛1锛夆柍BFE涓庘柍AED鍏ㄧ瓑鍚?璇疯鏄庣悊鐢憋紱 锛2锛塅E鈯B鍚?璇疯鏄庣悊鐢憋紟 锛1锛夆柍BFE鈮屸柍AED锛 鐞嗙敱锛氣埖鈭燘=鈭燜ED=60掳, 鈭粹垹BFE+鈭燜EB=鈭燜EB+鈭燗ED, 鈭粹垹BFE=鈭燗ED锛庛 鍙堚埖鈭燘=鈭燗,EF=E...
绛旓細锛1锛夊洜涓築E锛孋F鍒嗗埆鏄疉CAB涓よ竟涓婄殑楂橈紝閭ｄ箞鏈 鈭燘AC+鈭燗BD=90掳=鈭燘AC+鈭燝CA 鍙堟湁BD=AC锛孋G=AB 鎵浠ユ湁鈻矨CG鈮屸柍DBA 鎵浠ユ湁AD=AG 锛2锛夌敱浜庘柍ACG鈮屸柍DBA锛屾墍浠ユ湁鈭燘AD=鈭燙GA 鍥犱负AB鈯G锛屾墍浠ユ湁鈭燙GA+鈭燝AF=90掳=鈭燘AD+鈭燝AF 鍗虫湁锛氣垹DAG=90掳 鍗虫湁AD鈯G ...
绛旓細鍥炵瓟锛氳瘉鏄:濡傛灉涓涓涓夎褰涓や釜瑙掔殑瑙掑钩鍒嗙嚎鐩哥瓑,璇曡瘉鏄庤繖涓笁瑙掑舰涓虹瓑鑵颁笁瑙掑舰
绛旓細16锛 濡傚浘13锛屸柍ABC鏄笉绛夎竟涓夎褰锛孌E=BC锛屼互D 锛孍涓轰袱涓《鐐逛綔浣嶇疆涓嶅悓鐨涓夎 褰锛屼娇鎵浣滅殑涓夎褰笌鈻矨BC鍏ㄧ瓑锛岃繖鏍风殑涓夎褰㈡渶澶氬彲浠ョ敾鍑篲__涓17锛 濡傚浘14锛 鍒嗗埆鏄攼瑙掍笁瑙掑舰 鍜岄攼瑙掍笁瑙掑舰 涓 杈涓鐨勯珮锛屼笖 锛庤嫢浣 锛岃浣犺ˉ鍏呮潯浠禵__銆(濉啓涓涓綘璁や负閫傚綋鐨勬潯浠跺嵆鍙)18锛 濡傚浘14...
绛旓細鍥犱负,AC鍨傜洿浜嶣D銆丅E鍨傜洿浜嶢D,鎵浠,涓夎褰ACD鍜屼笁瑙掑舰BCF鏄洿瑙掍笁瑙掑舰銆傚張鍥犱负,CF=CD,鎵浠,涓夎褰CD鍜屼笁瑙掑舰BCF鏄鍏ㄧ瓑(涓よ涓杈瑰垎鍒浉绛)銆傛墍浠D鍜孊F鐩哥瓑 7銆佸湪涓夎褰BC涓,AB=AC,AD鏄珮,姹傝瘉:瑙払AD=瑙扖AD銆 AB=AC,AD=AD,瑙扐DB=瑙扐DC=90搴,鎵浠ヤ笁瑙掑舰ABD鍏ㄧ瓑浜庝笁瑙掑舰ACD,鎵浠ヨBAD=瑙...
绛旓細鈭粹垹ABC=鈭燗CB=(180掳-20掳)/2=80掳,鈭碘垹BCD=50掳 鈭碘垹HCD=10掳 鈭粹垹HCB=60掳 鈭碘垹FBC=60掳 鈭粹柍BCF鏄瓑杈涓夎褰 鈭碆C=BF 鈭碘垹BCD=50掳 鈭碘垹DBC=80掳 鈭碘垹DBC+鈭燘CD+鈭燘DC=180掳 鈭粹垹BDC=50掳 鈭碘垹BCD=50掳 鈭粹垹BDC=鈭燘CD 鈭碆D=BC 鈭碆D=BF 鈭粹垹BDF=鈭燘FD 鈭碘垹DBF=80掳...
绛旓細锛2锛夎嫢BD=1锛屾眰DF鐨勯暱锛嶤D缁忚繃鈭燘CA椤剁偣C鐨勪竴鏉＄洿绾匡紝CA=CB锛嶦锛孎鍒嗗埆鏄洿绾緾D涓涓ょ偣锛屼笖鈭燘EC=鈭燙FA=鈭犖憋紟锛1锛夎嫢鐩寸嚎CD缁忚繃鈭燘CA鐨勫唴閮紝涓擡锛孎鍦ㄥ皠绾緾D涓婏紝璇疯В鍐充笅闈袱涓闂锛氣憼濡傚浘1锛岃嫢鈭燘CA=90掳锛屸垹伪=90掳锛屽垯BE=CF锛汦F=|BE-AF|锛堝～鈥滐紴鈥濓紝鈥滐紲鈥濇垨鈥=鈥濓級锛涒憽濡傚浘...
绛旓細2: 寤堕暱HP浜B浜庣偣Q,鈭礎D鏄骞冲垎绾, PF鈯D.鈭粹柍AQH涓虹瓑鑵涓夎褰锛 鈭碅H=AQ.鍙堝洜涓猴細 鈻矪AP鈮屸柍BFP锛屸埓AB=FB, 鈭燘FQ=鈭燘AD 鍦ㄢ柍BFQ鍜屸柍BAD涓 鈭燘=鈭燘 AB=FB 鈭燘FQ=鈭燘AD 鈭粹柍BFQ鈮屸柍BAD锛圓SA)鈭碆D=BQ 鍙堝洜涓:AB=BQ+AQ,鈭 AB=BD+AH 3锛氬瓨鍦紝娌℃椂闂寸畻浜嗐
绛旓細鈭粹柍ACB鏄瓑鐩磋鑵涓夎褰 鈭礐D骞冲垎鈭燗CB 鈭碈D鈯B涓斺垹ACD=鈭燙BD=45º鈭礐H鈯M 鈭粹垹HCM+鈭燤=90º鈭碘垹DAM+鈭燤=90º鈭粹垹HCM=鈭燚AM 鈭粹垹HCM+鈭燘CD=鈭燚AM+鈭燙AB 鍗筹細鈭燘CE=鈭燙AM 鍦ㄢ柍BCE鍜屸柍CAM涓細鈭燘CE=鈭燙AM (宸茶瘉)BC=AC (宸茬煡)鈭燙BE=鈭燗CM=45º (宸茶瘉)鈭...
绛旓細AM+MN+NA=2.鐞嗙敱濡備笅锛氬欢闀緼C鍒癙锛屼娇寰桟P=BM锛屸埖鈭燗BD=60掳+30掳=90掳[鈭燙BD=锛180掳-120掳锛壝2=30掳]鈭粹垹ACD=90掳锛孊D=CD 鈭粹柍MBD鈮屸柍PCD锛圫锛孉锛孲锛夛紝鈭碊M=DP锛岀敱DN鏄叕鍏辫竟锛屸垹MDN=鈭燩DN=60掳锛堚埖鈭燤DB=鈭燩DC锛夆埓鈻矼DN鈮屸柍PDN锛圫锛孉锛孲锛夆埓MN=PN=MB+NC锛屸埓AM+MN+NA=...
