名校
解题方法
1 . 在矩形
中,E,F分别为BC,CD的中点,若
(m,
),则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1930289026d38536dbddf820e5663d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3276b5e12396fc4753eb3f8254f9fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32043a653eba02c79ae6395b3bcb34f.png)
A.1 | B.2 | C.![]() | D.![]() |
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名校
解题方法
2 .
为梯形
的一条对角线,
在线段
上,且
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42adb9bd1485a17320a2f07adfe26f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d762f1f88e76e534c285bae8bf4781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 在平行四边形
中,
是对角线
上靠近点
的三等分点,点
在
上,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caa815bd5e56dadfcaf3bf3038f79d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 已知
,
,
.
(1)若
与
垂直,求实数
的值;
(2)若
与
方向相反,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9192e812a914e8065329bd509aa6ccb9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0d6f45010a54e0bfa0b48c90376ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d108e523626be0b40be9b3543ce12524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0d6f45010a54e0bfa0b48c90376ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12309c8aa2c9362c197de345aad7eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
5 . 在△ABC中,
,P是MC的中点,延长AP交BC于点D.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436830896877e1a9111e180d76da1432.png)
________ ;若
,
,则△ABC面积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d74b1d0480790400a9223e4437afdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3eb017225ca281cdde9cf7edac2ed06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436830896877e1a9111e180d76da1432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
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名校
6 . 在
中,角
所对的边分别为
,
为平面内一点,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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名校
解题方法
7 . 如图,边长为2的等边三角形的外接圆为圆O,P为圆O上任一点,若
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36965c4fa2678fe61578db7f38ac37c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
A.![]() | B.2 | C.![]() | D.1 |
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8 . 如图,在△ABC中,
,
,其中
,CP的延长线与AB交于点F.已知
,
,
.
,请用向量
,
表示向量
,并求
的值;
(2)若
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a64f1d0b5e4a6ebf4405b98a21a1ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23b8ba897a7bbf4a9c0c3d6f6ecd89f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d2919e5bd26b5e9be672a3ff7604cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7ce899eaa74017eda8a8f3903c943e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0226b54b8c18c97505c9e2d8eeef2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7239b3f2d88c2e45e17e5de9ae1a332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187634c24754b576ae8293665f45f89b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1795d8255d1235d98159322d4b0cda5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd0ae3147ba748cafdac6c00ae77c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04af7d85462fc4f519090d5cbb8ae61.png)
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名校
解题方法
9 . 如图在平行四边形
中,
,
,
分别为
和
上的动点(包含端点),且
,
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3e3a793d8df4deb46f456cda72b4c9.png)
①请用
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
②设
与
相交于点
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534275f4d89976253f660ceec4ace83d.png)
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fb581e6a89ae40731b8619fff1e173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.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/4e4425dc7c346e4597c0521d7f636174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d2c2266ea52a0a0b02860080adc5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3e3a793d8df4deb46f456cda72b4c9.png)
①请用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c3accb1b8a5479439beff4259660e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8c53645db602c72b00b599c2c0ff97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534275f4d89976253f660ceec4ace83d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6096acdd2d0ce16e1e45397ec5e365d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d415c64c7ec3c451f5bcf121c4efde.png)
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名校
解题方法
10 . 在
中,点
满足
,点
在射线AD(不含点A)上移动,若
则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f188f328d51696de16aa4c11d152aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e86e966fc3e0daa997b142dba46ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99f0d11451137f885b6cc7f69cbfbc3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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