如图,已知点
是一次函数
的图像上一点,过点
作
轴的垂线
,
是
上一点(
在
上方),在
的右侧以
为斜边作等腰直角
,反比例函数
的图像过点
,若
的面积为16,则
的面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e4dab26fb06fb46be0f34d42147183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9940526785ca763da2dfa35e77c934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fde166eb8fe559975f88ef7a3fcc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.3 | B.4 | C.6 | D.12 |
更新时间:2024-03-31 11:24:39
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【推荐1】如图,已知点A、B在反比例函数
的图像上,AB经过原点O,过点A作
轴的垂线与反比例函数
的图像交于点C,连接BC,则△ABC的面积是( )
![](https://img.xkw.com/dksih/QBM/2019/5/30/2214606050926592/2217730505850882/STEM/93f43dd4202642d0ad10b1b05fb7bcf8.png?resizew=143)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e11d5bff57e56ce82c2339f2d71ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b4f23770747042d68b0fa011762258.png)
![](https://img.xkw.com/dksih/QBM/2019/5/30/2214606050926592/2217730505850882/STEM/93f43dd4202642d0ad10b1b05fb7bcf8.png?resizew=143)
A.8 |
B.6 |
C.4 |
D.3 |
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【推荐2】如图,已知双曲线
,
,点P为双曲线
上的一点,且
轴于点A,
轴于点B,
、
分别交双曲线
,
于D、C两点,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd472085c6a49c6c82a6440dd6e69641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4a2201cdbf37f435b2689b15c58dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/424be0f19cb65f984169be8f8ec362e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9d95479904c01fe9cebbc7b3f2d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66321c27313f40893e43d0a87417c4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a9540f8002050fc5dc42fe22c1af76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/424be0f19cb65f984169be8f8ec362e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/16/3214aabb-a806-4dc7-b501-848553eb4a4c.png?resizew=205)
A.![]() | B.![]() | C.![]() | D.2 |
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【推荐1】如图,已知双曲线
经过
斜边
的中点
,且与直角边
相交于点
.若点
的坐标为(
,4),则
的面积为( )
![](https://img.xkw.com/dksih/QBM/2016/1/15/1573954969796608/1573954975391744/STEM/61b4f3cd0c2d4ade84bc9ef67690f496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b6b53d1b81f856bcd35ca68da9d927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02610d66bcdc224cd6f82e1588f1d774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d35fd723499bbdcd8602baf910e3cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c888bc7e31b864eb187b8c9164a210a2.png)
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A.8 | B.9 | C.10 | D.18 |
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【推荐2】反比例函数
和
在第一象限内的图象如图所示,点P在
的图象上,PC⊥x轴,交
的图象于点A,PD⊥y轴,交
的图象于点B.当点P在
的图象上运动时,以下结论:①△ODB与△OCA的面积相等;②PA与PB始终相等;③四边形PAOB的面积不会发生变化;④当点A是PC的中点时,点B一定是PD的中点.其中一定正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/d168d57d-a89c-4c6f-b955-cd73939ee61f.png?resizew=184)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/d168d57d-a89c-4c6f-b955-cd73939ee61f.png?resizew=184)
A.①②④ | B.①②③ | C.②③④ | D.①③④ |
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【推荐1】如图,平行四边形ABCD的顶点C在y轴正半轴上,CD平行于x轴,直线AC交x轴于点E,BC⊥AC,连接BE,反比例函数
(x>0)的图象经过点D.已知S△BCE=1,则k的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/26/aa39f116-008d-4c4b-aaf7-50ce0482783a.png?resizew=224)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
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A.2 | B.﹣2 | C.3 | D.4 |
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【推荐2】如图,在平面直角坐标系,等腰直角
的顶点A、B均在函数
的图象上,点C在y轴正半轴上,
,若点A的横坐标为
,点B的纵坐标为1,则k的值为( )
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712456354168832/2715259643486208/STEM/f7db9af3-51e7-4512-93a8-e18e456941b0.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712456354168832/2715259643486208/STEM/f7db9af3-51e7-4512-93a8-e18e456941b0.png)
A.1 | B.2 | C.4 | D.6 |
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【推荐1】如图,
是
的中位线,
平分
交
于点D,若
,则边
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
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A.7 | B.8 | C.9 | D.10 |
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【推荐2】如图,△ABC中,AC=8,点D,E分别在BC,AC上,F是BD的中点.若AB=AD,EF=EC,则EF的长是( )
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859549442883584/2899371770667008/STEM/44a3a96e-195b-49ad-9630-7b6efd1ea111.png?resizew=173)
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859549442883584/2899371770667008/STEM/44a3a96e-195b-49ad-9630-7b6efd1ea111.png?resizew=173)
A.3 | B.4 | C.5 | D.6 |
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