2023高三·全国·专题练习
解题方法
1 . 如图,在
中,
、
分别是边
、
的中点,
是边
上的点,且
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
________ .
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665d31c17f260e4e1af467ded2207d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3551cb6296464da5c3b69c0e10cea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf58ab9f991c22d4156349ec2b77bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/fa0561d9-a9bd-443b-a77c-42e3e1c008dc.png?resizew=147)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
2 . 设
、
分别是
的边
、
上的点,
,
,若
(
、
为实数),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f628174dab470cf9a59f75f37d01e6.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f3821f3cf5f2f68792015b77cce36e.png)
______ .
,若
(
、
为实数),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77cda09eb99bd49faf5e7c894a9250e.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977fbc68ad8e97d548bbfaf0e975a8b5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/f74a61581d965458316280968241e4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f3ddfd586ae5432f0c06e5b1a76ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19cea8f02768bdd7e869290d042a5748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f628174dab470cf9a59f75f37d01e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f3821f3cf5f2f68792015b77cce36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba8b9bfc8be34c375cea6cd4e472548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0ee8fc6d8bbd11a0cf66a86207bd69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061baa765d2939a416300de14c45b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf97cb5e2fa09745dbb21b9bcfe9e6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77cda09eb99bd49faf5e7c894a9250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977fbc68ad8e97d548bbfaf0e975a8b5.png)
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2023高三·全国·专题练习
3 . 如图,点P在由射线OD、线段OA,线段BA的延长线所围成的平面区域内(包括边界),且OD与BA平行.若
,则当
时,x的取值范围是_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c584668cd1bc832edec096f682dc694a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
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2023高三·全国·专题练习
名校
解题方法
4 . 已知向量
、
不共线,且向量
与
平行,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40cb8327026ad45fd3bc18ee52321ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc4db5edb10720f863af49ef4def2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2023高三·全国·专题练习
解题方法
5 . 在
中,
,
的平分线交
于点
,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
________ ,
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a6f36741b86f464be362b12bac13d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.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/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd78466e4ff68ed70256a8f29a2a6e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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名校
解题方法
6 . 向量
,
,
在正方形网格中的位置如图所示,若向量
,则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abdc197cab50e9b59fd74467aaf8ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/11/f4e16dbf-c932-48ed-bc78-5a4df67221c4.png?resizew=158)
A.1 | B.![]() | C.3 | D.![]() |
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名校
解题方法
7 . 如图所示,平行四边形
的对角线相交于点O,
,若
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ee82c1e6dae6b083e5c239c89d263a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0b985a7f64d6253d9ee24f056d744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/12/97c1f986-ed70-40b2-955c-2a34c261c7ef.png?resizew=218)
A.1 | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 如图,在
中,
为
上一点,
,
为
上一点,
,且
,则
的值为( )
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c9ba21933a3ac9f13936183443e8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f03f31df5b20a4bf36a7bac73b9a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64374401bf683ab1b19cbfdfb955bcbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/9/bfd6c823-951a-4c63-b7b7-671c233edbdb.png?resizew=168)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 在矩形
中,
为对角线的交点,
为
上一点,且向量
在向量
上的投影向量为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113087f596b5b4f957c911a61e233088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002cfbd1d25d818670b1ea04278f1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
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2023-09-09更新
|
441次组卷
|
5卷引用:重庆市2024届高三上学期9月联考数学试题
名校
解题方法
10 . 在平行四边形
中,
是对角线
上靠近点
的四等分点,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)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/8/1c7533b1-6a0d-4cf5-9262-5b61200ed2d8.png?resizew=200)
A.![]() | B.![]() | C.![]() | D.![]() |
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