1 . 已知
分别为
的边
上的点,线段
和
相交于点
,若
,
,
,其中
.则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be878f5bdce9a3e9939a4ae743c803b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b1174877b02d3c54c58314fa7cd1218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83463cbe4e6b434ce448c053cae70ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761e8ff96c96ac26682b521288a01bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c227da7ad9d24ae3e3740febf9f293.png)
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名校
解题方法
2 . 在平行四边形
中,
为
边上靠近点
的三等分点,
,则
的值为______ .
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e070f7f9e7f166b447e0d3a188ce0881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1adebff9fb726cd58eda1ef994890901.png)
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名校
3 . 在四边形
中,
,则实数
的值为______ ,若
是线段
上的动点,且
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4fec47150e684e8b270289048aff7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d92b9548115581546be6f0a3c5a7057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ab157cd50abfa3a6de8027f3f0b424.png)
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真题
4 . 在边长为1的正方形
中,点
为线段
的三等分点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
______ ;
为线段
上的动点,
为
中点,则
的最小值为______ .
![](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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f8c08d4be8d309dc82fd4b170db11b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c98a41ef6f9c38a7ebfc74dde60853.png)
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2024-06-16更新
|
3207次组卷
|
6卷引用:2024年天津高考数学真题
解题方法
5 . 如图,在
中,
分别是边AB,AC上的点,
,且
,点
是线段DE的中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080881113dcfedbb37be834669306a05.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab2284d326527ac5b6829c71a7b9e02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ba1954221a03cd62f691aaa6f798fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8908d9e34f06b6a3509a1d8e999d5ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080881113dcfedbb37be834669306a05.png)
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名校
解题方法
6 . 已知平行四边形ABCD中,AC与BD交于点O,E为线段OD的中点,AE的延长线与CD交于点F.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ace1f0505dac8a8ea7bca12dc94eb41.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68028d33ab8a11b4cd40ecfdd253b1d.png)
______ (答案用含
,
的式子表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87919b376c1de16dc744b04d72877183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8682ba80b5d1e124e98c8661c753a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ace1f0505dac8a8ea7bca12dc94eb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68028d33ab8a11b4cd40ecfdd253b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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7 . 在
中,
,
,
,
,
为
上一点,且满足
,若
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.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/b091c6a44e3ae2323c6830975471a137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae64fb5b50398f3147e96e8648b3d5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
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解题方法
8 . 在
中,点
分别在边
上,
,若
交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4bcde5a6cb5d00a24fdeab409d6484.png)
__________ ;当
时,
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee51da6f7594df55c2392c49ba478cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0a3fa475b24f57ecd79c681259561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4bcde5a6cb5d00a24fdeab409d6484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d540c573a17490987b66aa76d135432f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43bcf9f1acfec083a5478b868efb9c2a.png)
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2024-06-10更新
|
233次组卷
|
2卷引用:江西省萍乡市2024届高三二模考试数学试卷
名校
解题方法
9 . 在平行四边形ABCD中,若
,
,则平行四边形ABCD的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42083f00cd68320e4e0275400c139551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499fd1c359cd78bf067326e4b940acee.png)
您最近一年使用:0次
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解题方法
10 . 在
中,
为BC上一点,
是AD的中点,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.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/15c9acc8e0a6a969fa8227b84a088338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550329e53494cbcad81a474778ed3c56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
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