名校
1 . 如图所示,在直角梯形ABCD中,已知
,
,
,
,M为BD的中点,设P、Q分别为线段AB、CD上的动点,若P、M、Q三点共线,则
的最大值为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9723a6e093c297b001436e8932b1820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d262480ffb55b7617f44b63f130c154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ce7fb8c9f05610966cc356a3f97779.png)
![](https://img.xkw.com/dksih/QBM/2021/4/5/2693509786214400/2694126481883136/STEM/e23c9a88973c4c55abae82bd7e09b8ff.png?resizew=165)
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2021-04-06更新
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9卷引用:上海市普陀区2021届高三上学期一模数学试题
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名校
2 . 在
中,
为直角,
,
,
与
相交于点
,
,
.
(1)试用
、
表示向量
;
(2)在线段
上取一点
,在线段
上取一点
,使得直线
过
,设
,
,求
的值;
(3)若
,过
作线段
,使得
为
的中点,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c607be8fbe8b2701e0451e9322223e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca7757b00ff2bdc8796ccfa33fec0293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6942bd9fc5d090de0cfad7022aa32f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cc63e33fe47da2704cff57d148dde0.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00da1c29aea46e36cda0f5780966bb6.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f9c6f622be010cd1d9cc5c13f4fd9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23438690dec68d60e07d2ab6bdbf1d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ebeb198e80f9c2e6406f0601554b92.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228f00eb81c06f6862e15e923109c35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2d713292dd1f9f367d382077c703d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3b182fcad057f49f2360d6d2b4dddf.png)
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2019-12-10更新
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6卷引用:上海市上师大附中2018-2019学年高二上学期期中数学试题