优优班--学霸训练营 > 知识点挑题
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            • 1.
              如图将矩形\(ABCD\)沿对角线\(BD\)折叠,使\(C\)落在\(C′\)处,\(BC′\)交\(AD\)于点\(E\),则下到结论不一定成立的是\((\)  \()\)
              A.\(AD=BC′\)
              B.\(∠EBD=∠EDB\)
              C.\(\triangle ABE\)∽\(\triangle CBD\)
              D.\(\sin ∠ABE= \dfrac {AE}{ED}\)
            • 2.
              如图,矩形纸片\(ABCD\)中,\(AB=6cm\),\(BC=8cm.\)现将其沿\(AE\)对折,使得点\(B\)落在边\(AD\)上的点\(B_{1}\)处,折痕与边\(BC\)交于点\(E\),则\(CE\)的长为\((\)  \()\)
              A.\(6cm\)
              B.\(4cm\)
              C.\(3cm\)
              D.\(2cm\)
            • 3.
              如图,三角形纸片\(ABC\),\(AB=AC\),\(∠BAC=90^{\circ}\),点\(E\)为\(AB\)中点\(.\)沿过点\(E\)的直线折叠,使点\(B\)与点\(A\)重合,折痕现交于点\(F.\)已知\(EF= \dfrac {3}{2}\),则\(BC\)的长是\((\)  \()\)
              A.\( \dfrac {3 \sqrt {2}}{2}\)
              B.\(3 \sqrt {2}\)
              C.\(3\)
              D.\(3 \sqrt {3}\)
            • 4.
              如图,已知在\(\triangle ABC\)中,\(∠BAC > 90^{\circ}\),点\(D\)为\(BC\)的中点,点\(E\)在\(AC\)上,将\(\triangle CDE\)沿\(DE\)折叠,使得点\(C\)恰好落在\(BA\)的延长线上的点\(F\)处,连结\(AD\),则下列结论不一定正确的是\((\)  \()\)
              A.\(AE=EF\)
              B.\(AB=2DE\)
              C.\(\triangle ADF\)和\(\triangle ADE\)的面积相等
              D.\(\triangle ADE\)和\(\triangle FDE\)的面积相等
            • 5.
              如图,在\(⊙O\)中,点\(C\)在优弧\( \overparen {AB}\)上,将弧\( \overparen {BC}\)沿\(BC\)折叠后刚好经过\(AB\)的中点\(D.\)若\(⊙O\)的半径为\( \sqrt {5}\),\(AB=4\),则\(BC\)的长是\((\)  \()\)
              A.\(2 \sqrt {3}\)
              B.\(3 \sqrt {2}\)
              C.\( \dfrac {5 \sqrt {3}}{2}\)
              D.\( \dfrac { \sqrt {65}}{2}\)
            • 6. 如图,将矩形ABCD的四个角向内折起,恰好拼成一个无缝隙无重叠的四边形EFGH,若EH=9厘米,EF=12厘米,则边AD的长是(  )
              A.12厘米
              B.15厘米
              C.20厘米
              D.21厘米
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