下列说法错误的是( )
A.有两个角为60°的三角形是等边三角形 | B.线段垂直平分线上的点到这条线段两个端点的距离相等 |
C.一个锐角和一条边分别相等的两个直角三角形全等 | D.等腰三角形顶角的平分线、底边上的中线、底边上的高线互相重合 |
21-22八年级下·山东枣庄·期中 查看更多[2]
山东省枣庄市滕州市2021-2022学年八年级下学期期中数学试题(已下线)第05讲 等腰三角形的性质与判定(2大考点14种解题方法)-2022-2023学年八年级数学上学期考试满分全攻略(浙教版)
更新时间:2022-08-18 14:01:49
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【推荐1】如图,在△ABC中,CA=CB,∠ACB=90°,以AB的中点D为圆心,作圆心角为90°的扇形DEF,点C恰在EF上,设∠BDF=α(0°<α<90°),当α由小到大变化时,图中阴影部分的面积( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/fe1e0ddb-82b6-4e01-b30a-5e5302891a23.png?resizew=160)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/fe1e0ddb-82b6-4e01-b30a-5e5302891a23.png?resizew=160)
A.由小到大 | B.由大到小 | C.不变 | D.先由小到大,后由大到小 |
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【推荐2】已知线段
,
和
,求作△ABC,使
,
,
边上的中线
,作法合理的顺序依次为( )
①延长
到B,使
;②连接
;③作△ADC,使
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e781a2489271bfd1597cba1bb6f5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df81cda12d7601d58b1d9c7c180c4d66.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3be96420ac78c8621fcb47a45514fa8.png)
①延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532aece6cfd67e2a97977eed978dbf2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df81cda12d7601d58b1d9c7c180c4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3be96420ac78c8621fcb47a45514fa8.png)
A.③①② | B.①②③ | C.②③① | D.③②① |
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【推荐1】观察发现:在三角形中,大角对大边,小角对小边.
猜想证明:
中,
.
求证:
.
证明:将
沿直线
①折叠,使点B与点C重合,如图2.
∴
,
∴
(②).
在
中,
(③),
∴
(④),
∴
.
列说法不正确的是 ( )
猜想证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6f337c00a6d4bf1e7580d8888db3d6.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb980da8e86b4cfd322616dc84fc6e.png)
证明:将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc603d44c4bacb658ff86bf808d3095.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0435f724a67b42436680115721cc3f1d.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dddb32a7a5c157fdf8aa049b2d665b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af1a11eff7de0fb670a939f79608c3d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16ad4b66c5bd301e5d17b3de6c3913e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb980da8e86b4cfd322616dc84fc6e.png)
列说法不正确的是 ( )
A.①处的![]() ![]() | B.②表示等角对等边 |
C.③表示三角形的两边之和大于第三边 | D.④表示等式的基本性质 |
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【推荐2】如图,在矩形
中,分别以点
和点
为圆心,大于
的长为半径作弧,两弧相交于
两点,作直线
,交
,
于点
.若
,
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,在△ABC中,AB=AC=6,AD⊥BC,垂足为D,CD=4,则△ABC的周长为( )
![](https://img.xkw.com/dksih/QBM/2017/10/14/1802245252079616/1810123503558656/STEM/2f31991d7453477e95bcfe843e9239af.png?resizew=114)
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A.18 | B.20 |
C.22 | D.24 |
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【推荐2】如图1,已知在四边形ABCD中,
,
,
,动点P从点B出发沿折线B→A→D→C的方向以1个单位/秒的速度匀速运动,整个运动过程中,△BCP的面积S与运动时间t(秒)的函数关系如图2所示,则AD的长为( )
![](https://img.xkw.com/dksih/QBM/2020/7/1/2496645444501504/2497233639956480/STEM/8e540eba16a14ab6abd8d3bac4acb8e9.png?resizew=373)
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A.5 | B.![]() | C.8 | D.![]() |
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【推荐1】下列三角形:①有两个角等于60°的三角形;②有一个角等于60°的等腰三角形;③三个外角(每个顶点处各取一个外角)都相等的三角形;④一腰上的中线也是这条腰上的高的等腰三角形.其中是等边三角形的有( )
A.①②③④ | B.①②④ | C.①②③ | D.②③④ |
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【推荐2】如图,在
中,
.
垂足为D,
是
的角平分线,分别交
于点P,E.其中正确的结论的个数为( )
①
;②
是等边三角形;③
;④
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/198020b3-9d04-4211-979a-d4cf9dc651bc.png?resizew=220)
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①
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A.4个 | B.3个 | C.2个 | D.1个 |
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