解题方法
1 . 如图,已知点
平面
,点
,直线
,点
且
,则“直线
直线
”是“直线
直线
”的_____________ 条件(请填写“充分非必要”,“必要非充分”,“充要”,“非充分非必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a70051411f2fbba74fb4fe1b01aeb758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ece3c8b83398263b0a3801c1dec0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2a947e3fdc214d40a7d3f54679a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae29cf15aa9e3b33373709999a71418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59169f91ebc758ba6e73fc99fcfaab15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0967ca2d04a7da2f6c95e0efe07fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0967ca2d04a7da2f6c95e0efe07fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
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名校
2 . 函数
的最小正周期为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7233cbaf1db1ae3a9dff0f35cbe5a8.png)
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3 . 若复数
是方程
的一个根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01199e52ea8ed44a69b8dd76e3567704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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解题方法
4 . 已知向量
,
,则向量
在
方向上的投影向量的坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c054fc0cb6f1d5d8ab58797552fb8920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c71ff32ae633697b26cc81c9b2481f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
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5 . 正方体的棱长扩大到原来的
倍,则其表面积扩大到原来的__________ 倍,体积扩大到原来的__________ 倍.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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6 . 点
对应的复数是
,点
对应的复数是
,则线段
的中点对应的复数是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33286c6359bb69548e6b42253471a6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9845fcf800c01a35d37bf592b66755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0600267caf4d9288ab8ba8f4f9b3d556.png)
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名校
解题方法
7 . 已知
是边长为3的正方形
内(包含边界)的一点,则
的最大值是__________ .
![](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/e83b9f01e806bf74042ba41b26423022.png)
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名校
8 . 若复数
满足
,则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee93db6620d0fef131aa1e09171e3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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7日内更新
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225次组卷
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2卷引用:福建省部分优质高中2023-2024学年高一下学期期末质量检测数学试卷
9 . 已知
(其中
为正整数)是公比为
的等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c669fd111ba41fd4ffd194b7ccea86b8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200691eb362a4cd1b209e9618ac2741e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c669fd111ba41fd4ffd194b7ccea86b8.png)
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解题方法
10 . 已知角
的终边经过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46902ee9fbd30111d7831f1fc7b79641.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ceaea1c9f99458c286d49ec95d150c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46902ee9fbd30111d7831f1fc7b79641.png)
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