名校
解题方法
1 . 函数
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94613ffc4a263cec1950c2f01831ec9e.png)
A.最小正周期为![]() | B.最小正周期为![]() |
C.最小正周期为![]() | D.最小正周期为![]() |
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2024-04-20更新
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4卷引用:四川省雅安市2024届高三下学期4月联考数学(理)试题
解题方法
2 . 已知函数
.
(1)若
在区间
存在极值,求
的取值范围;
(2)若
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7054dbcd9ad1998688f13392344cc43.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d4e6da5ef81e8653eacfbb748dc127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-04-17更新
|
881次组卷
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4卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
解题方法
3 . 一个圆锥的顶点和底面圆都在半径为2的球体表面上,当圆锥的体积最大时,其侧面积为______ .
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2024-04-17更新
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4卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
4 . 已知集合
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67070a68185686687076d9b73c49a441.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64d0e19b26c07de37c071f56ba482cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9010bb095765c0b0be1e1ecf5dacbf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5f10b560a5d5d117c3069cb1715b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67070a68185686687076d9b73c49a441.png)
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2024-04-15更新
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428次组卷
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3卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
5 . 已知a,b,c均为正数,且
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3327226d812294303c5404ffa9da486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b084ffb7530c2a533a361ba23ff2b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b123e612a632ef6f8e8ea965d4acc408.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-15更新
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3卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
6 . 已知
,
分别为
的边
,
的中点,若
,
,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae26343571632f73f5a7b8bd8ba2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51cbc3789c024db2cf78d2500acad117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-15更新
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966次组卷
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7卷引用:四川省雅安市2024届高三下学期二诊数学(文)试题
7 . 已知平面区域
圆C:
,若圆心
,且圆C与y轴相切,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94625fdb61ba725e0d782605dbfcc1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd01abd452fdcde5d4e7216478307c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce1f67b58bd3b209bf2ace3550394f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.10 | B.4 | C.2 | D.0 |
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2024-04-15更新
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3卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
8 . 已知等差数列
的公差为
,集合
有且仅有两个元素,则这两个元素的积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e482e8743415c4fdf487764c972594e.png)
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2024-04-15更新
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3卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
9 . 已知
,则曲线
在点
处的切线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0107fb8d4cb3a9b6311fa639ca514b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
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2024-04-15更新
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3卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题
解题方法
10 . 如图,在三棱锥
中,M为AC边上的一点,
,
,
,
.
平面
;
(2)若直线PA与平面ABC所成角的正弦值为
,且二面角
为锐二面角,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94b7928ff6145cccd4b64b0010a585d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75935f499493a6bdf92cab5ed82abe1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a910c896750506ffc2f8e29ce96435bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85db6f28f09fe9382a3ba571875f8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
(2)若直线PA与平面ABC所成角的正弦值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039b5d69307f03fc40103a37f4b0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf29d07c3751c41ab3503065a5a5052e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e820aec9c1a975242fe6d76408a9cde8.png)
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2024-04-15更新
|
750次组卷
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3卷引用:四川省雅安市2024届高三下学期二诊数学(理)试题