解题方法
1 . (多选)如图,弹簧挂着的小球做上下运动,它在ts时相对于平衡位置的高度h(单位:
)由关系式
确定,其中
小球从最高点出发,经过
后,第一次到达最低点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2f95b382b3711c5ab2187b7f2c5c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa92ac8b6521ff904cfa5939a3e6061a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cae27d0ed5b60ec23b51470dddbace5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbb40016e1c6ea147a63ab384034336.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2 . 已知
,
,函数
.
(1)求函数
的解析式及对称中心;
(2)若
,求
的值;
(3)在锐角
中,角
,
,
分别为
,
,
三边所对的角,若
,
,求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f09dc9e7618e8ccf537e29632f4d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f673a7fc7ccef28ce684b3b12947b40e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aa1233d7a93113281594c41f25c7db.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44ec7aa6a761bc92aded56ef5c69ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c98121b68063a3450865da0ef39ab07.png)
(3)在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96724d332543adb6ce85c1a725ba558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 已知平面四边形ABCD满足
,且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e198d7428fe7292e352e13417bf0e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900a8f4c8349e1c79e8dc31a493b5964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57624cd6e3fc1050e98dbedfa66802b9.png)
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4 . 函数
的周期是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8305de6e85c4c88c5fbeff4fc1a461eb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 已知向量
,
,
.
(1)若将函数
图象向左平移
个单位长度,再把得到的图象上所有点横坐标缩短为原来的
,得到函数
,试求
在
上的单调递减区间;
(2)锐角
中角A,B,C所对的边分别为a,b,c,若
,
,求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f3ec8ca41f88b197335b44dc3c4f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d086d10f28658452c539d1ef8dacc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30351fb67c2df449163b052e1ff4ef9c.png)
(1)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c6c37ce441a8ed77c8e3953e8fe1f.png)
(2)锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39900a2d790732077ffb571427a134fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69def215d32ff6734ad883a0ca260a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 . 在
中,
.
为
所在平面内的动点,且
,若
,则给出下面四个结论:
①
的最小值为
;
②
的最小值为
;
③
的最大值为
;
④
的最大值为8.
则正确命题的序号是_________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c527566ec9aff483bf308e4119d2322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6adb8e055723620e10435c1632815c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd4cdb5035ce43bfebeeeb9457f411.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6ddf31b7d9225a4239883af72d153b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01317332a203c898536b1d0459f51d23.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d911e720abfb1b8892747d79ddc8f4d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
则正确命题的序号是
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7 . 如图,
为正方形,
,
,点
为直角坐标平面内的一点,M为线段
的中点,设
.
的表达式;
(2)当
取最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22835cac87fea3afbcf4b290b226a86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8a9d8828280d1fd63ea218ca1e7d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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8 . 设定义在
上的函数
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa90928d2b99c10f86cd472b590e579f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9850dfbd2bab54356612470fda2e1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-14更新
|
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2卷引用:湖南省衡阳市第一中学2024年高二下学期期中考试数学试卷
名校
9 . 函数
的部分图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb71dfeb52af65217098b92526dd047.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-12更新
|
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6卷引用:河北省保定市唐县第一中学2023-2024学年高二下学期5月期中考试数学试题
10 . 已知向量
,
,设
,
.
(1)化简函数
的解析式并求其单调递增区间;
(2)当
时,求函数
的最大值及最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4499d48a010785f6ecc0a4fbc9c1967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57798e67bb63a095bfff2ef6fafe0e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)化简函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-06-09更新
|
573次组卷
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3卷引用:四川省成都市树德中学2023-2024学年高一下学期5月期中考试数学试题
四川省成都市树德中学2023-2024学年高一下学期5月期中考试数学试题(已下线)核心考点2 平面向量的数量积 B提升卷 (高一期末考试必考的10大核心考点)四川省达州市万源中学2023-2024学年高一下学期5月月考数学试题