题型:解答题-问答题
难度:0.85
引用次数:609
题号:17460813
如图所示,已知线段
,点
、
分别是线段
、
的中点,点
是
上一点,且
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b79850d6b00a67110e77a33d1c46b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ad127193826e6cf064b39b9486549f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/dee8b3c7-5223-4981-a4b4-ee56580130e8.png?resizew=261)
更新时间:2022-12-01 13:17:00
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解答题-问答题
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名校
【推荐1】如图,已知B、C在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/825b5725-299e-4e21-b780-ece05ecc439a.png?resizew=221)
(1)图中共有 条线段;
(2)若
.
①比较线段的大小:
(填:“>”、“=”或“<”);
②若
,M是
的中点,N是
的中点,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/825b5725-299e-4e21-b780-ece05ecc439a.png?resizew=221)
(1)图中共有 条线段;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
①比较线段的大小:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ceee60d9930d76edb1377d2ace2de5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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【推荐2】顶点为D的二次函数
满足以下三个条件的任意两个:
①其与
轴的交点为
;
②其与x轴的交点为
和
;
③该函数其最大值为12
(1)从以上条件任选两个,求出函数的表达式;
(2)若存在直线
,二次函数上的存在一个点A,使得
等于A到直线的距离,求出A点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88cc7d1f9ac083ce49956c4f361b3b46.png)
①其与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06d31c9a2298b02664a86ddd91b1121.png)
②其与x轴的交点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340d2d5156cdad6993cf7c3af76d9959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ac55c5a8ad17e77e16e842af460186.png)
③该函数其最大值为12
(1)从以上条件任选两个,求出函数的表达式;
(2)若存在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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【推荐1】如图所示,
,点
是线段
的中点,点
是线段
的中点,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cf997be91eba5aa57c308a3461c799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/056be5e0-2d63-46f3-8109-766f9c8510c8.png?resizew=241)
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解答题-作图题
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较易
(0.85)
【推荐2】用圆规和直尺作(画)图(只保留痕迹,不写作法)
如图,已知点P和线段
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/c4e7a99e-338b-4c2c-a4b2-603688877d5f.png?resizew=103)
(1)经过点P画一条直线
;
(2)在直线
上截取一条线段
,使
;
(3)在(2)的条件下,若
,
,点M是线段
的中点,则线段
的长为 .
如图,已知点P和线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/c4e7a99e-338b-4c2c-a4b2-603688877d5f.png?resizew=103)
(1)经过点P画一条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
(2)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90dbdd1e2512af5ebd97a4b89550f71.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d548911aa19f7e67816a89ec44d9f1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d9792485ccd1ba479ceba6397c15ff.png)
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