解题方法
1 . 已知数列
,
的前n项和分别为
,
,
,
,若对于任意
,不等式
恒成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204fe825361c413ddc828c5505476789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad79beb73db3426049dd027dafcd0d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb01dca4dbd451e6eca0231481c6f55b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 若
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f20dc732e23cc35ca2e81714aa8b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000a4d58dc4ce801345391e223adba27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3476faf710c7b44a2cd51a295102ac21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-06更新
|
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|
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3 . 在平面直角坐标系
中,角
以
为始边,它的终边与单位圆交于第二象限内的点
.
(1)若
,求
的值;
(2)若
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90688751e58655291204fab149e744e3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6644721146986b75312aa71bd467677c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc0bd9b373d1d5d819d0b3e2ec00398.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3efa007272f8028d7ad0acb80e45a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解题方法
4 . 若单位向量
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596a3ee5d8473fc6619ea7730e13325b.png)
A.![]() | B.![]() | C.3 | D.7 |
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2024-03-05更新
|
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|
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解题方法
5 . 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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|
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5卷引用: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
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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解题方法
6 . 已知函数
,
且
恒成立.
(1)求实数a取值的集合;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1737b509d3c77824cd98c7d9ff542f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce32efbb0a8c25d29c7d2effe7e5dca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
(1)求实数a取值的集合;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/984532520df0e5b9113cf3b8bde45a1b.png)
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|
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解题方法
7 . 已知函数
及其导函数
的图象如下图所示,若函数
在
上恰有3个不同的零点
,
,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4250e1272028150feeab816d9fec43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5175a4148b2a704eb29dd3bb77d033c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e615a5ca4d8e679a19c4e90687c59d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
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8 . 如图,直三棱柱
的体积为
,
,
,
,则该三棱柱
的外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c646c683fbe522edb7ea54fd3ad873d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/1fa50f80-bf9a-4715-9553-d703846dcfe5.png?resizew=103)
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9 . 已知数列
为正项等比数列,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345f68853d3b83a29419ee89e80b57d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c504030acc6ef3f9b3c8b7a2946995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
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|
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10 . 若函数
存在零点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31ed5f8e9e81906bdd6c6fe1dd56a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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