名校
解题方法
1 . 已知定圆
的半径为4,A为圆
上的一个定点,
为圆
上的动点,若点
不共线,且
对任意的
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7590a22611f3935d8e32eac956c2a4c1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0adb221acf5accdb239b4532a3ab7ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9cec0474c43086ea39cb457048313c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7590a22611f3935d8e32eac956c2a4c1.png)
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名校
2 . 已知在四边形
中,
为等边三角形,
,点
为
边(含端点)上的动点,
与
相交于点
.当点
为
中点时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1f382ba3c3cd9322522a8d4e4042a5.png)
______ ;当点
在
边上运动时,若点
满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a450aecb61add1c2177f20a0f6b700.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1f382ba3c3cd9322522a8d4e4042a5.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706c514e8247d28d251b678227fc6a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0601b43cf2c5fd7946c2e3a7829d4.png)
![](https://img.xkw.com/dksih/QBM/2022/12/12/3129487066177536/3130574068473856/STEM/3fa07ff10fc34bd6b0561cfd22447f29.png?resizew=176)
您最近一年使用:0次
2022-12-14更新
|
840次组卷
|
2卷引用:天津市实验中学2022-2023学年高三上学期第二阶段学习质量检测数学试题
名校
解题方法
3 . 已知向量
夹角为
,对任意
,有
恒成立,若
为实数,则
的最小值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cc6c1580e7229b39f3d3efc84a065a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92864b1adfe473942d40eb958d35a20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00fc7f8b3118c9ea58b0f0ee21aa8eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610262afe4076d3c3379994f12825a82.png)
您最近一年使用:0次
名校
解题方法
4 . 在矩形
中,
是平面
内的一点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbb2f620a5bb5445d6a318c934a2126.png)
______ ;
是平面
内的动点,且
,若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b1c0c798692b68a9d53be6be99e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4a0cfb7af93a6c539cf7585daf4cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbb2f620a5bb5445d6a318c934a2126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001f1c966d5d4225768bba8175edb51a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d61f98f7418eda31a1d7c457e3841c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f431df16810db441cb634724bcc344b0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/6dc4eed2-703d-4959-a852-d2b79463785a.png?resizew=150)
您最近一年使用:0次
2022-11-26更新
|
879次组卷
|
3卷引用:湖北省重点中学4G+联合体2022-2023学年高二上学期期中数学试题
5 . 已知平面向量
,其中
为单位向量,且满足
,若
与
夹角为
,向量
满足
,则
最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b4b85abe4f0b40d5cc7a1c1dd40e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be4754cb0c8887d64a8c5a1660a962a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc9849d7409df2f5b15704f0bf55cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc23a04cdac6439ea170e799f1c1df5.png)
您最近一年使用:0次
2022-11-22更新
|
1053次组卷
|
3卷引用:辽宁省沈阳第一二0中学2022-2023学年高三上学期第四次质量监测考试数学试题
解题方法
6 . 若
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9388f402f50a5887c475b32bb9492a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9adb51457c592130873dfbf2cd47d693.png)
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7 . 已知
满足
.给出下列四个结论:
①
为锐角三角形;
②
;
③
;
④
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f3d3b314fbd818611bdd8eb031d583e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57067c1145bbe8c6cc231d7e74727032.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1efe23233e724e2aeca6612d2487d1.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77a62fe16fe5bf112b20b3d120b299a.png)
其中所有正确结论的序号是
您最近一年使用:0次
8 . 已知正方形ABCD的边长为4,中心为O,圆O的半径为1,MN为圆O的直径.若点P在正方形ABCD的边上运动,则
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8eb37a4dd75318dcbd836395e575bd.png)
您最近一年使用:0次
9 . 已知非零平面向量
,
,
满足
,且
,若
与
的夹角为
,且
,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e163ee5d616dff1d982182243a98ff7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc58948d99dc96b527f3e42a9c497923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8554402de49efaf8fd20fc4af3ce749b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341d723e7f98dd7eec40051071b2c52a.png)
您最近一年使用:0次
解题方法
10 . 在矩形
中,
,
,
为矩形
内一动点,且
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b82fa8f506f8099ca06c36c706db479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e61dcea246d9be228d26796f59443bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e032c80f3c38a3da2ac34cf31d07e464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e82889700fd3cb3333bc54c8ce3e00.png)
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