名校
解题方法
1 . 若复数
为虚数单位)为纯虚数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3cadf9816096e03d4ab3bbd1822e005.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a59742de1081cb2361ebb03f8ae45c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3cadf9816096e03d4ab3bbd1822e005.png)
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名校
解题方法
2 . 已知函数
(
,
)的部分图象如图所示,图象的一个最高点为M,图象与x轴的一个交点为
,且点M,N之间的距离为5,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585017cad48cb09110f191b315c68804.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4634d3417959d4d33a10357e451e276f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87a22a39bd12c4734b0bdf1596b42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1dae100046ed97c11f207f935a4b523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585017cad48cb09110f191b315c68804.png)
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名校
3 . 已知向量
与
的夹角为
,则
在
上的投影向量的模为_________ ;
![](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/7a0495de5b6d0fb63ae09d79f5315c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
4 . 已知
为两个不同的平面,
为两条不同的直线,下列说法正确的是______ .
①
,
,
②
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f1b7081da6d7ef0998eccb9cd36b1d.png)
③
,
,
④
,
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0136ff034377d0109923e845dbd27dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675f1e09eb033dab8ef96d1f1c349150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f1b7081da6d7ef0998eccb9cd36b1d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542a1572078188c8fbe82ebddf8af3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2a947e3fdc214d40a7d3f54679a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb82a0d764e8301607285c7cdaefd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675f1e09eb033dab8ef96d1f1c349150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a557a5746706ff11213e3c33add965ef.png)
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5 . 在
中,
为
边上一点.若
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738c7fbc402bbd3f930f9eada7dab466.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e29b822cda1ba926e96368094fa1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d4eea2b5e11dfe32542187de16af12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738c7fbc402bbd3f930f9eada7dab466.png)
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名校
解题方法
6 . 在
中,内角
所对的边分别为
,满足
,
是边
的中点,
,且
,则
的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5458cf682081953c2d6ecdb13ca67291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a80d642494e68c4bd5219a7c67ffe5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.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/f47f2b6e8510964c9df2cc058891eb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f3107cdd4180a3b37b8a22d8ececbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2024-06-13更新
|
151次组卷
|
2卷引用:吉林省长春外国语学校2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
7 . 已知梯形
是直角梯形,按照斜二测画法画出它的直观图
(如图所示),其中,
,则直角梯形
边的长度是________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1669773d38e8531e204debd7b58a074e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33baf91887eb6a20a2a4d7479190cd07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
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解题方法
8 .
的内角
的对边分别为
,若
且
,则
的值为________
![](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/e888e289a0b7c50694698701aa2e87e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49aec36cc1cf42c48acaa31f3c8fcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
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2024-06-11更新
|
619次组卷
|
2卷引用:吉林省长春市第二中学2023-2024学年高一下学期第二次学程考试(6月)数学试题
名校
解题方法
9 . 如图,在平面四边形
中,
,
.若
,则四边形
的面积为______ ;若
的大小可变化,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8ebac9bde6bb6a2113edb90bf963fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8eab10e24f9b016f46995a895237929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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10 . 已知向量
,
,则向量
在向量
上的投影向量的坐标是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbcc85521ef83792fe4d15b99f9f846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5d2e176efcf02e085b011c35eeb4e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
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