已知:如图,在
中,
,
.
;
(2)若
是
的平分线,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402ab8c49c4dd2aaa0ef47164c7cac00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1717b5311ed602f1730e86d9322647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b85c1d3d1b63519a0cbfe6ddcbcdf22.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
更新时间:2024-05-09 20:38:43
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【推荐2】如图,O为直线AB上一点,∠AOC=48°,OD平分∠AOC,∠DOE=90°.
(1)图中有 个小于平角的角;
(2)求出∠BOD的度数;
(3)试判断OE是否平分∠BOC,并说明理由.
(1)图中有 个小于平角的角;
(2)求出∠BOD的度数;
(3)试判断OE是否平分∠BOC,并说明理由.
![](https://img.xkw.com/dksih/QBM/2020/3/28/2429125171699712/2432318644903936/STEM/fa3d97d3432545f0959669a07bd992ac.png?resizew=195)
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【推荐1】图1是小明设计的一个美丽图案.图2是其中的一个图形,其中
,
,
,
.
(1)求
的度数.
(2)试说明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee4e0de0c1de0835766b7f627f348c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c226581e14091779321c9fe91160ceef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/4cf61115-97d5-46e4-a040-a78e6d9747e9.png?resizew=361)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
(2)试说明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333ab24c4935210f4c232cd0c0fae358.png)
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【推荐2】在综合与实践课上,同学们以“一个含
的直角三角尺和两条平行线”为背景开展数学活动如图1,已知两直线
,且
和直角三角形
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/bd3aa902-6162-40e9-a525-4e6997d702d4.png?resizew=319)
(1)在图1中,
,求
的度数;
(2)如图2,创新小组的同学把直线
向上平移,并把
的位置改变,发现
,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc8444d63d1ca92651c62fe9b220859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f1b67aff9e505b0e753af141952b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/bd3aa902-6162-40e9-a525-4e6997d702d4.png?resizew=319)
(1)在图1中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d898e85958b9c9e7c2fa1d52db8f9251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
(2)如图2,创新小组的同学把直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87db26c93c31aa633abf8e57196c7a65.png)
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【推荐1】如图,
,
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/cbd22a41-0474-4bf7-b89d-13deb11d6cb9.jpg?resizew=150)
(1)欲使
,
与
需要满足什么条件?说明理由;
(2)在(1)的情况下,若
是
的平分线,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b85c1d3d1b63519a0cbfe6ddcbcdf22.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/cbd22a41-0474-4bf7-b89d-13deb11d6cb9.jpg?resizew=150)
(1)欲使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402ab8c49c4dd2aaa0ef47164c7cac00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
(2)在(1)的情况下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
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【推荐2】如图,已知∠BED=∠B+∠D,试说明AB与CD的关系.
解:
,
理由如下:
过点E作∠BEF=∠
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
∴ ( )
( )
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
理由如下:
过点E作∠BEF=∠
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f015a1a01802fd8e0fe0214a2c7741d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc92a7a46772362e8de7cd55c0f27bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c60f17a75726af79410af9608334bd5.png)
∴ ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc6290efdeed575038c89af35537867.png)
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941049092939776/2942456768634880/STEM/15ced07891614ee9908fa15e7cb1d30f.png?resizew=148)
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