解题方法
1 . 已知单位向量
、
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95dc0b02040f837ae2496a5751947577.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/3cbe6d7326a8d038fb90f612cc020437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95dc0b02040f837ae2496a5751947577.png)
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2024-03-04更新
|
1059次组卷
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5卷引用:河北省唐山市第五中学2023-2024学年高一下学期开学考试数学试题
河北省唐山市第五中学2023-2024学年高一下学期开学考试数学试题内蒙古自治区赤峰第四中学2023-2024学年高三下学期开学考试数学(理科)试题河南省部分名校2024届高三上学期期末检测数学试题天津市武清区杨村第三中学2023-2024学年高一下学期第一次过程性评价数学试题(已下线)专题01 高一下期末真题精选(1)-期末考点大串讲(人教A版2019必修第二册)
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2 . 如图,点
是棱长为2的正方体
表面上的一个动点,直线
与平面
所成的角为
,则点
的轨迹长度为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2024-03-03更新
|
500次组卷
|
5卷引用:河北省保定市第一中学2023-2024学年高一下学期贯通创新实验班开学考试数学试题
河北省保定市第一中学2023-2024学年高一下学期贯通创新实验班开学考试数学试题广东省梅州市大埔县虎山中学2023-2024学年高二下学期开学质量检测数学试卷(已下线)8.6.2 直线与平面垂直-同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)专题3.8 立体中的夹角和距离问题-重难点突破及混淆易错规避(人教A版2019必修第二册)江苏省镇江市实验高级中学2023-2024学年高一下学期5月月考数学试卷
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3 . 若函数
在
上满足
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d8e369603298efa47c36460189bdff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801d492de7ae12be2bf576f25c4f1ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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2024-03-03更新
|
182次组卷
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3卷引用:河北省保定市部分高中2023-2024学年高一下学期开学数学试题
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4 . 若正数
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af7e3b80738dc841fd130b9a7bff2685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
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2024-03-03更新
|
196次组卷
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2卷引用:河北省保定市部分高中2023-2024学年高一下学期开学数学试题
5 . 在数列
中,满足
,则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264107f1eed5885864de03c65cb3a127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca0d579b21444c33d1dd802dbef20ef.png)
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名校
6 . 已知等比数列
的公比为q,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c3aed8080f03c6fbd5da85238278ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
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2024-03-02更新
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290次组卷
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解题方法
7 . 若函数
在
上单调递增,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b815a7c96ae5840ffbb054e664d347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
8 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8b00bb15fecb138c0c8b071b097851.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b4ada2d081c47ed29b8373412e55c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8b00bb15fecb138c0c8b071b097851.png)
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2024-03-01更新
|
439次组卷
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2卷引用:河北省张家口市尚义县第一中学等校2023-2024学年高一下学期开学收心考试数学试题
9 . 已知抛物线
:
(
)的焦点为
,准线为
,过
的直线与
交于
,
两点(点
在第一象限),与
交于点
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5293fb9d26d0c9519c9339f258b78644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bbafa889700c6764ebc7fc1a42cd91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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解题方法
10 . 已知定义在
上的连续偶函数
,其导函数为
,当
时,不等式
成立,若对任意的
,不等式
恒成立,则正整数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb37656ac96a413e7b70dfb62c72189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010ae8d326052c7bdb8b11a39af3824f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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