初中_数学_初三【数学】_九下数学-试题_新人教版九年级下册数学全套同步练习_【推荐】27.2.1相似三角形的判定-同步练习（2）B

相似三角形的判定练习选择题：1.下列判断正确的是（）两个直角三角形相似B.两个相似三角形一定全等C.凡等边三角形都相似D.所有等腰三角形都相似2.下列各对三角形中一定不相似的是（）△ABC中，∠A=54°，∠B=78°△A′B′C′中，∠C′=48°，∠B′=78°B.△ABC中，∠C=90°，AC=4cm，BC=3cm△A′B′C′中，∠C′=90°，A′C′=12cm，B′C′=15cm△ABC中，∠B=90°，AB=5，AC=13△A′B′C′中，∠B′=90°，A′B′=2.5a，B′C′=6aD.△ABC中，∠C=90°，∠A=45°，AB=5△A′B′C′中，∠A′=45°，A′B′=5如图，AB∥CD，AC、BD交于O，BO=7，DO=3，AC=25，则AC长为（）A.10B.12.5C.15D.17.5在△ABC中，MN∥BC，MC、NB交于O，则图*有（）对相似三角形。A.1B.2C.3D.45．如图，在RtINCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image060.gif"\*MERGEFORMATI中，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image062.gif"\*MERGEFORMATI于D点，则图中相似三角形有（）．A．4对 B．3对 C．2对 D．1对6．如图，由下列条件不能判定INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image065.gif"\*MERGEFORMATI与INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image067.gif"\*MERGEFORMATI相似的是（）．A．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image071.gif"\*MERGEFORMATIB．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image073.gif"\*MERGEFORMATIC．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image075.gif"\*MERGEFORMATID．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image077.gif"\*MERGEFORMATI7．如图，D为INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image078.gif"\*MERGEFORMATI的边AB上一点，且INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image080.gif"\*MERGEFORMATI，则AC长为（）．A．12cm B．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image084.gif"\*MERGEFORMATIcm C．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image086.gif"\*MERGEFORMATIcm D．2cm8．下列4组图形中一定相似的是（）．A．各有一个角是40°的两个等腰三角形B．两条边之比都是2：3的两个三角形C．两条边之比都是2：3的两个直角三角形D．各有一个角是100°的两个等腰三角形9．下列各组图形中有可能不相似的是（）．A．各有一个角是45°的两个等腰三角形B．各有一个角是60°的两个等腰三角形C．各有一个角是105°的两个等腰三角形D．两个等腰直角三角形10．有一个锐角相等的两个直角三角形的关系是（）．A．全等 B．相似 C．既不全等与也不相似 D．无法确定11．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image087.gif"\*MERGEFORMATI和INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image089.gif"\*MERGEFORMATI符合下列条件，其中使INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image090.gif"\*MERGEFORMATI与INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image091.gif"\*MERGEFORMATI不相似的是（）．A．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image093.gif"\*MERGEFORMATIB．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image095.gif"\*MERGEFORMATIC．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image097.gif"\*MERGEFORMATID．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image099.gif"\*MERGEFORMATI二、填空题如图，已知△ABC中D为AC中点，AB=5，AC=7，∠AED=∠C，则ED=。在梯形ABCD中，AB∥CD，AC平分∠DAB，DC：AB=1：1.5，则AD：BC=。3.如图,在Rt△ABC中∠ACB=90°，CD⊥AB，AC=6，AD=3.6，则BC=，BD=。4.已知：图中AC⊥BD，DE⊥AB，AC、ED交于F，BC=3，FC=1，BD=5，则AC=。5．如图，BD、CE是INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image002.gif"\*MERGEFORMATI的高，图中相似三角形有__________对．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image004.jpg"\*MERGEFORMATI6．如图，D是INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image005.gif"\*MERGEFORMATI的边AB上一点，若INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image007.gif"\*MERGEFORMATI，则INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image009.gif"\*MERGEFORMATI∽INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image011.gif"\*MERGEFORMATI，若INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image013.gif"\*MERGEFORMATI，则INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image015.gif"\*MERGEFORMATI∽INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image017.gif"\*MERGEFORMATI．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image019.jpg"\*MERGEFORMATI7．在INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image020.gif"\*MERGEFORMATI中，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image022.gif"\*MERGEFORMATI是高，若INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image024.gif"\*MERGEFORMATIINCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image026.gif"\*MERGEFORMATIINCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image028.gif"\*MERGEFORMATI，且INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image030.gif"\*MERGEFORMATI，则INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image032.gif"\*MERGEFORMATI．8．如图，在四边形ABCD中，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image034.gif"\*MERGEFORMATIcm，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image036.gif"\*MERGEFORMATIcm，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image038.gif"\*MERGEFORMATIcm，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image040.gif"\*MERGEFORMATIcm，则CD的长为__________cm．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image042.jpg"\*MERGEFORMATI9．如图，在INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image043.gif"\*MERGEFORMATI中，AC是BC、DC的比例中项，则INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image045.gif"\*MERGEFORMATI∽____．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image047.jpg"\*MERGEFORMATI10．如图，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image049.gif"\*MERGEFORMATIcm，则INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image051.gif"\*MERGEFORMATIcm．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image053.jpg"\*MERGEFORMATI11．如图，在INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image054.gif"\*MERGEFORMATI中，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image056.gif"\*MERGEFORMATI与INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image057.gif"\*MERGEFORMATI是否相似_________，相似比是__________．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image059.jpg"\*MERGEFORMATI三、解答题1.已知：如图,□ABCD中E为AD的中点，AF：AB=1：6，EF与AC交于M。求：AM：AC。2.已知：如图,在△ABC中EF是BC的垂直平分线，AF、BE交于一点D，AB=AF。求*：AD=DF。已知：E是正方形ABCD的AB边延长线上一点，DE交CB于M，MN∥AE。求*：MN=MB已知：如图，∠1=∠2，∠3=∠4求*：BM·AC=MN·AB*一、1.C；2.D；3.D；4.B；5．B；6．C；7．B；8．D；9．A；10．B；11．D二、1.0.1；2.1：1.5；3.8，6.4；4.6；5．2对INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image111.gif"\*MERGEFORMATI∽INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image113.gif"\*MERGEFORMATI，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image115.gif"\*MERGEFORMATI∽INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image117.gif"\*MERGEFORMATI； 6．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image119.gif"\*MERGEFORMATI；7．5，INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image121.gif"\*MERGEFORMATI；8．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image123.gif"\*MERGEFORMATIINCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image125.gif"\*MERGEFORMATI；9．INCLUDEPICTURE"mhtml:.rqsz./rqxxzy/cz06072/cz06072/03/XK09_NJ09/ZY20060703104237187/XTJX/SC20060728150210062.mht!61.178.178.21/czpd/kczy/0506xia/sx/2/10/kebiao/bs/2/xtjx/image127.gif"\*MERGEFORMATI；10．1.5cm；11．相似，3：5三、1.1：8；2.△DBF∽△ACB，false；3.false；4.略。