如图,DE⊥AB,EF∥AC,∠A=32°,
①求∠DEF的度数;
②若∠F比∠ACF大60°,求∠B的度数.
①求∠DEF的度数;
②若∠F比∠ACF大60°,求∠B的度数.
![](https://img.xkw.com/dksih/QBM/2017/3/27/1653034756481024/1657692573704192/STEM/610121c48a5f4db1929e1cba1e66d7fd.png?resizew=156)
更新时间:2017-04-03 11:27:05
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【推荐1】(1)如图1,若
,
,
,求
的度数.
(2)如图1,点A是直线
上一点,C是直线
上一点,B是直线
之间的一点,
.求证:
;
(3)如图2,在(2)的条件下,作
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与
的角平分线交于点F.若
,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ddf9142d06c526d281b0d8110b6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c43af5281524b9100630590903b9b9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(2)如图1,点A是直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3064b70f24e9bbcab76e0dc61274b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae47c5b903c090767d720a1451781444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145f6d560ba96f85790ac71b66e47749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2868676ab7a19ca70e8ccf3dd00a0b.png)
(3)如图2,在(2)的条件下,作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a670c4a600717396516dffa1fb1018f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
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【推荐2】如图,CD是∠ACB的平分线,∠EDC=25º,∠DCE=25º,∠B=70º.
(1)试证明:DE∥BC;
(2)求∠BDC的度数.
(1)试证明:DE∥BC;
(2)求∠BDC的度数.
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【推荐1】阅读下面的解答过程,并填空.
如图,在△
中,
是斜边
上的高,
,
.求
的度数;
(2)
的度数.
解:(1)∵
(已知),
∴
________(垂直的定义).
∵
( ),
∴
________
______(等量代换).
(2)∵
( ),
∴
(等式的性质).
∵
________(平角的定义),
(已知),
∴
______.
如图,在△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ddd400871d8639db7615d899e756c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3018c687427b6257767eda4a8c6612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cd9d0d73549e2944578f3513631ce5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
解:(1)∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f61765b5f57a3208af1371e08b72c9.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e247f764a95dd070c3d6da510841c667.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b347da9da842f89d3ecce7e6ed1e6411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf4bf4d8e604fbf1d344a85200c77f2.png)
(2)∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3095f9aaab6dcee19329f0ddf68584a3.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d7998f049e783c6bbbe69ce3b5779b.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee633d1260373c5211e3c15fdcd61a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3018c687427b6257767eda4a8c6612.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
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【推荐2】如图,在三角形ABC中,
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