配套习题- 菱形判定的解题策略 -【青果学院】

挑战习题

1/5单选题

难度：

如图，在三角形ABC中，AB＞AC，D、E分别是AB、AC上的点，△ADE沿线段DE翻折，使点A落在边BC上，记为A′. 若四边形ADA′E是菱形，则下列说法正确的是（）

青果学院

A	DE是△ABC的中位线
B	AA′是BC边上的中线
C	AA′是BC边上的高
D	AA′是△ABC的角平分线

提示1：: PHA+5qC55o2u5a+56KeS57q/5LqS55u45Z6C55u055qE5bmz5YiG6L+b6KGM5Yik5patPC9wPg==

正确答案：RA==

PGRpdj7op6PvvJriiLXlm5vovrnlvaJBREEnReaYr+iPseW9ou+8jOWImeagueaNruiPseW9oueahOWvueinkue6v+W5s+WIhuS4gOe7hOWvueinku+8jDxicj7iiLRBQSfmmK/ilrNBQkPnmoTop5LlubPliIbnur/vvIw8YnI+5pWFROato+ehru+8mzxicj7ogIxC44CBQ+S4jeato+ehru+8m0RF5LiN5LiA5a6a5piv4pazQUJD55qE5Lit5L2N57q/77yMQeS5n+S4jeato+ehri48YnI+5pWF6YCJRC48L2Rpdj4=

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2/5单选题

难度：

如下图过矩形ABCD的四个顶点作对角线AC、BD的平行线，分别交于E、F、G、H四点，则四边形EFGH为（）

青果学院

A	梯形
B	矩形
C	菱形
D	正方形

提示1：: PHA+5YWI6K+B5Zub6L655b2iRUZIR++8jEFIR0PvvIxBRUZD6YO95piv5bmz6KGM5Zub6L655b2i77yMPC9wPg==

提示2：: PHA+5Yip55So55+p5b2i55qE5a+56KeS57q/55u4562JPC9wPg==

提示3：: PHA+6K+B5Zub6L655b2iQUZDReaYr+iPseW9ou+8jOWPr+S7pemAmui/h+ivgeaYjuWug+eahOWbm+adoei+ueebuOetiTwvcD4=

正确答案：Qw==

PGRpdj7op6PvvJrnlLHpopjmhI/nn6XvvIxIR+KIpUVG4oilQUPvvIxFSOKIpUZH4oilQUPvvIxIRz1FRj1BQ++8jEVIPUZHPUJEPGJyPuKItOWbm+i+ueW9okVGSEfvvIxBSEdD77yMQUVGQ+mDveaYr+W5s+ihjOWbm+i+ueW9ou+8jDxicj7iiLRIRz1BQ++8jEVIPUJEPGJyPuWPiOKIteefqeW9oueahOWvueinkue6v+ebuOetie+8jDxicj7iiLRBQz1CRO+8jDxicj7iiLRFSD1IR++8jDxicj7iiLTlubPooYzlm5vovrnlvaJFRkhH5piv6I+x5b2iLjxicj7mlYXpgIlDLjwvZGl2Pg==

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3/5单选题

难度：

3.在△ABC中，AB≠AC，D是边BC上的一点，DE∥CA交AB于点E，DF∥BA交AC于点F. 要使四边形AEDF是菱形，只需添加条件（）

A	AD⊥BC
B	∠BAD=∠CAD
C	BD=DC
D	AD=BC

提示1：: IOWbm+i+ueW9okFFREbmmK/lubPooYzlm5vovrnlvaLvvIzlm6DkuLrilrNBQkPkuI3mmK/nrYnohbDkuInop5LlvaLvvIzmiYDku6Xmt7vliqBB44CBQ+mDveS4jeiDveS9v+Wbm+i+ueW9okFFREbmmK/oj7HlvaLvvJs=

提示2：: IOa3u+WKoELvvIzlj6/or4HiiKBFQUQ94oigRURB77yM5YiZQUU9REXvvIzljbPlubPooYzlm5vovrnlvaJBRURG5piv6I+x5b2iLg==

正确答案：Qg==

PGRpdj7op6PvvJriiLVEReKIpUNB77yMREbiiKVCQe+8jDxicj7iiLTlm5vovrnlvaJBRURG5piv5bmz6KGM5Zub6L655b2i77yMPGJyPuKItOKIoEVBRj3iiKBFREbvvIw8YnI+5Yip55So6YCJ6aG5QuS4re+8jOKIoEJBRD3iiKBDQUTvvIw8YnI+4oi04oigRUFEPeKIoEVEQe+8jDxicj7iiLRBRT1ERe+8jDxicj7ljbPlubPooYzlm5vovrnlvaJBRURG5piv6I+x5b2iLiA8YnI+5pWF6YCJQi4gPC9kaXY+

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4/5单选题

难度：

如图，在平行四边形ABCD中，BE平分∠ABC交AD于点E. DF平分∠ADC交BC于F.
若BD⊥EF，则判断四边形EBFD是（）特殊四边形

青果学院

A	矩形
B	菱形
C	正方形
D	梯形

提示1：: PHA+55Sx5bmz6KGM5Zub6L655b2iQUJDROWPr+W+l+WHuueahOadoeS7tuacie+8muKRoEFCPUNE77yM4pGh4oigQT3iiKBD77yM4pGi4oigQUJDPeKIoENEQe+8mzwvcD4=

提示2：: PHA+5bey55+lQkXjgIFDROWIhuWIq+aYr+etieinkuKIoEFCROOAgeKIoENEQeeahOW5s+WIhue6v++8jOaYk+ivgeW+l+KIoEFCRT3iiKBDREbikaPvvJvogZTnq4vikaDikaHikaPvvIzljbPlj6/nlLFBU0HliKTlrprmiYDmsYLnmoTkuInop5LlvaLlhajnrYnvvJs8L3A+

提示3：: PHA+5qC55o2u4oCc5a+56KeS57q/5Z6C55u055qE5bmz6KGM5Zub6L655b2i5piv6I+x5b2i4oCd56Gu5a6aPC9wPg==

正确答案：Qg==

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5/5单选题

难度：

如图，分别以Rt△ABC的斜边AB，直角边AC为边向外作等边△ABD和△ACE，F为AB的中点，DE，AB相交于点G，若∠BAC=30°，下列结论：①EF⊥AC；②四边形ADFE为菱形；③AD=4AG；④△DBF≌△EFA. 其中正确结论的序号是（）

青果学院

A	②④
B	①③
C	②③④
D	①③④

提示1：: PHA+5qC55o2u5bey55+l5YWI5Yik5pat4pazQUJD4omM4pazRUZBPC9wPg==

提示2：: PHA+5qC55o2u5YWo562J56Gu5a6a55u4562J55qE6YePPC9wPg==

正确答案：RA==

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