1 . 已知函数
部分图象如图所示,下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7743895a7a1d924507c3b30e654f6743.png)
A.![]() ![]() |
B.![]() ![]() |
C.将函数![]() ![]() ![]() |
D.若方程![]() ![]() ![]() |
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解题方法
2 . 已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df48c99dca918d5a03171eff39acbaee.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e4f558115c2751fde6d403387b42a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80eb51230a67c3ef2d2f49a60ac104a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e077c134951be8db27ee90e16b36fea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df48c99dca918d5a03171eff39acbaee.png)
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解题方法
3 . 在锐角
中,角
所对的边分别为
,且满足
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec3f79448524d6848be51fdd5c7a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f881bd746cb2e0ded5d7a01baaa4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99aa40d7a60b95165c07ef5b3a53fe46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b645a9d1180fa8a437284635bb97dc6e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 若函数
的最大值为
,则常数
的一个取值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f929779612a8eea91f05d14240758d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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5 . 已知
为坐标原点,对于函数
,称向量
为函数
的相伴特征向量,同时称函数
为向量
的相伴函数.
(1)记向量
的相伴函数为
,若
,且
,求
的值;
(2)设
,试求函数
的相伴特征向量
,并求出与
方向相同的单位向量;
(3)已知
,
,
为函数
的相伴特征向量,
,请问在
的图象上是否存在一点
,使得
?若存在,求出
点的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c6f29b2b1955715616003d51d8b77f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e71875d057956669becc2ffcc0cee7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
(1)记向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d63d98bc0e9bf568a3b16a54e06709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbcea46594840e7b95e2e848df88c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ee2d9c25f1e691714cfd7a21dd87d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455feb1477d9ee705852f62d9b9cac4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6653dbf5ce692ec226715bedccb66b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58877e557df4bb24758d6843ae7202a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f0f05f32f37281ed102b9a78648014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8191c207ff6b3b53dcced5f5cfbca0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1428037efcc8068ecc8b4cd2279568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b929fe0f9c13dd6dfabca91a1a4aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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6 . 在①
,②
中任选一个作为已知条件,补充在下列问题中,并作答.
问题:在
中,角
所对的边分别为
,已知_________.
(1)求
;
(2)若
,且
,求
的周长.
注:若选择不同条件分别作答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43dbbad3251a9114cbdf5948237225bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5cebb82cc09cb0ab0c50a268edb9bee.png)
问题:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec3f79448524d6848be51fdd5c7a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f76c77679d424630c035bfabb2fa98b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
注:若选择不同条件分别作答,则按第一个解答计分.
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解题方法
7 . 在锐角
中,角
的对边分别为
,
的面积为
,若
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ac52972d1086a8608e976500bcbadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aae1dc870a60a2070469d556deb472.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 .
的内角
的对边分别为
.分别以
为边长的正三角形的面积依次为
,且
.
(1)求角
;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf4e20ea341827ce5f9552daee39462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126e6d6c2643cee094d0182179f24c5a.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac9abff953a60dd62cd402c5604eb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731ac94d7d7af196a74d9aa5021cbb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edae2fbf118961efad281815201844d.png)
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|
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解题方法
9 . 在
中,
,
为
内一点,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1bf25d6d5e19e61b8e30e1f50d23db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf905f3910d9238a44ef647835b3d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d824921dbdfe961d73f8296efef84.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:山东省枣庄市2024届高三三调数学试题
山东省枣庄市2024届高三三调数学试题山东省青岛市2024届高三下学期第二次适应性检测数学试题(已下线)山东省济南市2024届高三下学期5月适应性考试(三模)数学试题福建省福州市福建师范大学附属中学2024届高三下学期校模拟考试数学试题广西南宁市第三中学2024届高三下学期校二模数学试题
名校
解题方法
10 . 若函数
的部分图象如图所示,
,
为图象上的两个顶点.设
,其中O为坐标原点,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ec89cdeadb8f524fa0aa01e8dc8348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea805a29a745227697f6dce0612839b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36aabb26cfab8ddbe8a603588f318630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80863901d65e6149e741129307540a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34281318027f1d9d7cffd42d2cca8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535985e010ead3a3e89319d76a7eb0a7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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