现有下列结论:①同旁内角相等,两直线平行;②三角形的三条角平分线都在三角形内部;③三角形的中线和高都是线段;④三角形的一条角平分线将三角形分成面积相等的两部分;⑤钝角三角形最多有一个锐角.其中正确的个数为( )
A.0 | B.1 | C.2 | D.3 |
更新时间:2024-05-10 11:37:42
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【推荐1】下列说法中,正确的个数有( )
① 三角形具有稳定性;
② 如果两个角相等,那么这两个角是对顶角;
③ 三角形的角平分线是射线;
④ 直线外一点到这条直线的垂线段叫做这点到直线的距离;
⑤ 任何一个三角形都有三条高、三条中线、三条角平分线;
⑥ 三角形的三条角平分线交于一点,且这点在三角形内;
① 三角形具有稳定性;
② 如果两个角相等,那么这两个角是对顶角;
③ 三角形的角平分线是射线;
④ 直线外一点到这条直线的垂线段叫做这点到直线的距离;
⑤ 任何一个三角形都有三条高、三条中线、三条角平分线;
⑥ 三角形的三条角平分线交于一点,且这点在三角形内;
A.2 | B.3 | C.4 | D.5 |
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【推荐2】如图,已知
是
的高线,且
,
,则
( )
![](https://img.xkw.com/dksih/QBM/2021/12/1/2863368324833280/2867402481098752/STEM/9f9db1aa-4983-4ad2-9884-b60839e931d5.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd5c43af8617515259e51e5e364995fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://img.xkw.com/dksih/QBM/2021/12/1/2863368324833280/2867402481098752/STEM/9f9db1aa-4983-4ad2-9884-b60839e931d5.png?resizew=136)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,在
中,
,
是高,
是中线,
是角平分线,
交
于点
,交
于
,下面说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/7e6a2a74-9071-48ea-83ef-83df676451c3.jpg?resizew=192)
①
的面积等于
的面积;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/7e6a2a74-9071-48ea-83ef-83df676451c3.jpg?resizew=192)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c5c265267457e5cbf17e4cb184160a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6435f7ac6f9c83695769a6c9fffa7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb7e2853529a63f5f98c59a332a9d0c.png)
A.①③④ | B.②④ | C.①② | D.①②③ |
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【推荐2】如图,在
中,点D,E,F,G分别是线段
,
,
,
的中点,设四边形
的面积为1,则
的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/2e12a91e-07eb-4746-8850-8fee7fb85295.png?resizew=146)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0d543096590fc939259a0ee74d1067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/2e12a91e-07eb-4746-8850-8fee7fb85295.png?resizew=146)
A.2 | B.3 | C.4 | D.6 |
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【推荐1】下列说法:(1)三角形的角平分线、中线、高都是线段;(2)直角三角形只有一条高;(3)三角形的中线可能在三角形外部;(4)三角形的高都在三角形内部且交于一点.其中说法正确的有( )
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】如图,已知
,
平分
,若
,
,则
的度数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/f682846e-af0d-4360-8b14-b59d4cf3e669.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302efd5266f7868d8c67f7bb09dc2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e56feb858a38f68412d4d7691fcf86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610070034b1621ade9b4f2d2236d414c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871a762469393cdd22f15aa49ebb8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/f682846e-af0d-4360-8b14-b59d4cf3e669.png?resizew=187)
A.34° | B.30° | C.28° | D.24° |
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