如图,在平面直角坐标系
中,点
,
是以
为直径的上半圆弧上两点(点
在
的右侧),点
为半圆的圆心,已知
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/c5fcc1e8-225f-4d0e-8776-573d5a141a9e.png?resizew=212)
(1)若点
的横坐标为
,点
的纵坐标为
,求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f50da3025ca3f3ede9b3cb3c472f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a42094fcc37954384a12a626ab5440.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/c5fcc1e8-225f-4d0e-8776-573d5a141a9e.png?resizew=212)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e3f3f09715fd737324ea48c3696485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c9bb1e429fb5afa16009b90096a404.png)
更新时间:2020-04-25 14:01:18
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解题方法
【推荐1】已知函数
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.
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(2)若函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4678a9db5a0b1daec152f284c80a6bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454b51a8c31b507febac015946d363ec.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7c4fe74fd6c09334f036d0fe4448e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
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解答题-问答题
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较难
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【推荐2】从秦朝统一全国币制到清朝末年,圆形方孔铜钱(简称“孔方兄”)是我国使用时间长达两千多年的货币.如图1,这是一枚清朝同治年间的铜钱,其边框是由大小不等的两同心圆围成的,内嵌正方形孔的中心与同心圆圆心重合,正方形外部,圆框内部刻有四个字“同治重宝”.某模具厂计划仿制这样的铜钱作为纪念品,其小圆内部图纸设计如图2所示,小圆直径1厘米,内嵌一个大正方形孔,四周是四个全等的小正方形(边长比孔的边长小),每个正方形有两个顶点在圆周上,另两个顶点在孔边上,四个小正方形内用于刻铜钱上的字.设
,五个正方形的面积和为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/cd0dd0de-fe67-4f1b-95f2-c66b6e32e65a.png?resizew=286)
(1)求面积
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(2)求面积
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c491961dac15b5c1f7b0797d0344a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/cd0dd0de-fe67-4f1b-95f2-c66b6e32e65a.png?resizew=286)
(1)求面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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【推荐3】已知向量
,
,函数
.
(1)若
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(2)已知
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,将
的图象向左平移
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的图象.在
的图象上是否存在一点
,使得
?若存在,求出所有符合条件的点
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090b9826e320c26ad185f7e7bf1b4396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f009c1c6c37813b861a59de781f8252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c05c2fea33b14f7f2557fddba5b4ef.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf5f7ff006b5267cb04de7d606b32fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8fb0444bde28f2f16e1095d464de97.png)
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(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eae019053ae564f08c01487f7ff7986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57d9e4d74240f620b62ec450ca12943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d462ecbfd4c6937d4a58725b809df966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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【推荐2】如图,椭圆C:
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/71d7482a-a343-47bd-ae11-c6c3bdcecac4.png?resizew=195)
(1)求椭圆C的方程;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd92ed9c7d216873545ea59101b6ce1b.png)
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