如图所示，直线AB∥CD，E为直线AB上任意一点，F为直线CD上任意一点． （1）画出并量出点E到直线CD的距
\u5982\u56fe1\uff0cE\u662f\u76f4\u7ebfAB\uff0cCD\u5185\u90e8\u4e00\u70b9\uff0cAB\u2225CD\uff0c\u8fde\u63a5EA\uff0cED\uff0e\uff081\uff09\u63a2\u7a76\u731c\u60f3\uff1a\u2460\u82e5\u2220A=30\u00b0\uff0c\u2220D=40\u00b0\uff0c\u5219\u2220AED\u7b49\u89e3\uff1a\uff081\uff09\u2460\u2220AED=70\u00b0\uff1b\u2461\u2220AED=80\u00b0\uff1b\u2462\u731c\u60f3\uff1a\u2220AED=\u2220EAB+\u2220EDC\uff0c\u8bc1\u660e\uff1a\u5ef6\u957fAE\u4ea4DC\u4e8e\u70b9F\uff0c\u2235AB\u2225DC\uff0c\u2234\u2220EAB=\u2220EFD\uff0c\u2235\u2220AED\u4e3a\u25b3EDF\u7684\u5916\u89d2\uff0c\u2234\u2220AED=\u2220EDF+\u2220EFD=\u2220EAB+\u2220EDC\uff1b\uff082\uff09\u6839\u636e\u9898\u610f\u5f97\uff1a\u70b9P\u5728\u533a\u57df\u2460\u65f6\uff0c\u2220EPF=360\u00b0-\uff08\u2220PEB+\u2220PFC\uff09\uff1b\u70b9P\u5728\u533a\u57df\u2461\u65f6\uff0c\u2220EPF=\u2220PEB+\u2220PFC\uff1b\u70b9P\u5728\u533a\u57df\u2462\u65f6\uff0c\u2220EPF=\u2220PEB-\u2220PFC\uff1b\u70b9P\u5728\u533a\u57df\u2463\u65f6\uff0c\u2220EPF=\u2220PFC-\u2220PEB\uff0e
\u5982\u56fe\u6240\u793a\uff1a
| 解：（1）（2）如答图所示（长度不唯一） （3）两条平行线间的距离相等。 |
绛旓細瑙ｏ細锛1锛夛紙2锛夊绛鍥炬墍绀锛堥暱搴︿笉鍞竴锛 锛3锛変袱鏉″钩琛岀嚎闂寸殑璺濈鐩哥瓑銆
绛旓細瑙ｇ瓟锛氳В锛濡傚浘锛杩囩偣E浣淓F鈭B锛屸埖AB鈭D锛鈭碅B鈭CD鈭EF锛庯紙1锛夆埖鈭燗=20掳锛屸垹C=40掳锛屸埓鈭1=鈭燗=20掳锛屸垹2=鈭燙=40掳锛屸埓鈭燗EC=鈭1+鈭2=60掳锛涳紙2锛夆埓鈭1+鈭燗=180掳锛屸垹2+鈭燙=180掳锛屸埖鈭燗=x掳锛屸垹C=y掳锛屸埓鈭1+鈭2+x掳+y掳=360掳锛屸埓鈭燗EC=360掳-x掳-y掳锛涳紙...
绛旓細鈭AB鈭D锛鈭粹垹B+鈭燙=180掳锛岃屸垹C=60掳锛屸埓鈭燘=120掳锛岃屼簲杈瑰舰鐨勫唴瑙掑拰涓猴紙5-2锛壝180掳=540掳锛屸埓鈭燛=540掳-135掳-60掳-120掳-150掳=75掳锛庢晠绛旀涓猴細75掳锛
绛旓細锛1锛夎繃E浣淓F鈭B锛 鈭AB鈭D锛 鈭碋F鈭D锛 鈭碘垹B=15掳锛 鈭粹垹BEF=15掳锛 鍙堚埖鈭燘ED=90掳锛 鈭粹垹DEF=75掳锛 鈭礒F鈭D锛 鈭粹垹D=75掳锛 鏁呯瓟妗堜负锛75掳锛 锛2锛夎繃E浣淓F鈭B锛 鈭礎B鈭D锛 鈭碋F鈭D锛 鈭粹垹B+鈭燘EF+鈭燚EF+鈭燚=360掳锛 鍙堚埖鈭燘=伪锛...
绛旓細锛1锛夎В锛濡傚浘鎵绀锛涳紙2锛塃F鈭C锛庤瘉鏄庯細鈭AB鈭D锛孍F鈭B锛屸埓EF鈭C锛涳紙3锛夎В锛氱粡娴嬮噺BF=CF锛庣粨璁猴細涓夋潯骞宠绾挎埅涓ゆ潯鐩寸嚎锛屾墍寰楀搴旂嚎娈垫垚姣斾緥锛涳紙4锛夎В锛氱粡娴嬮噺EF=12锛圓B+DC锛夛紟缁撹锛氭褰㈢殑涓綅绾垮钩琛屼簬涓ゅ簳锛屾褰㈢殑涓綅绾垮钩琛屼簬涓ゅ簳锛屽苟涓旂瓑浜庝袱搴曞拰鐨勪竴鍗婏紟
绛旓細鈭 EF//AB,E涓AC涓偣 鈭碋F//涓=1/2AB(涓綅绾垮畾鐞嗭級鈭礎B//CD 鈭 EF//CD
绛旓細瑙ｇ瓟锛氳В锛氾紙1锛濡傚浘鎵绀锛 锛2锛夆埖EF鈭D锛孉B鈭D锛鈭碋F鈭B锛
绛旓細鍥犳EF骞宠CD锛堝叾瀹炴湁涓涓叕鐞嗭細鑻ヤ袱鐩寸嚎骞宠锛岀涓夋潯鐩寸嚎骞宠浜庡叾涓竴鏉★紝鍒欒鐩寸嚎涔熷钩琛屼簬鍙︿竴鏉★紝鏃犺骞抽潰鍜岀┖闂撮兘閫傜敤锛屽彲浠ョ洿鎺ョ敤璇ュ叕鐞嗗仛棰橈級鍥犱负AB鈭D EF鈭B EF鈭D 鎵浠モ垹A+鈭燗EF=180掳 鈭燙+鈭燙EF=180掳 鍙堝洜涓衡垹AEC=鈭燗EF+鈭燙EF 鎵浠モ垹A,鈭燗EC涓庘垹C鐨勫拰鏄360掳 ...
绛旓細浣淔G銆丒H骞宠AB 鈭粹垹ABF=鈭燘FE,鈭燛FD=鈭燜DC锛屸垹ABE =鈭燘ED锛屸垹HED=鈭燛DC锛堜袱鐩寸嚎骞宠锛屽唴閿欒鐩哥瓑锛夆埖锛屸垹abe涓庘垹cde鐨勫钩鍒嗙嚎浜や簬f鐐 鈭粹垹efb=2鈭爃eb锛屸垹gfd=2鈭爃ed 鈭粹垹bed=2鈭燽fd 绾墜鎵
绛旓細鈭AB 鈭 CD锛鈭燙=125掳锛屸埓鈭燘FE=125掳锛庘埓鈭燛=鈭燘FE-鈭燗=125掳-45掳=80掳锛庢晠閫塀锛
