1 . 设向量
,
,
.
(1)求
;
(2)若
与
平行,求
的值;
(3)求证:
与
垂直;
(4)求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010632a752a68ced11aaf8ac2f3be311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe274c1abd217bba785a193f9a2ded1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbac0b7aae1810196fb8b2ac5a2861b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2def9368c3513ae1afb361b56dd06b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed521b8d2a27df838534e3b787b3dd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20f69af6870bada879cddd7f6794d24.png)
(4)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770b200e9fc16b3da9d38e37bb17d63b.png)
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解题方法
2 . 在
中,
,
分别为边
,
的中点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bca4cedb49fdb7e661cec247856ac22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
A.2 | B.1 | C.![]() | D.![]() |
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3 . 已知函数
若
,
,
互不相等,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0346a90d3b75dd702206e0f05043306.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/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
.
(1)化简
;
(2)若
是第二象限角,且
,求
的值;
(3)求函数
的定义域和对称中心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff85b428f08009147c9ca23ac4b5282d.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb5a8e9ff0a3919182e759b63ab5431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bb4bfb1b252e730e4b78734ca4f41e.png)
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5 . 已知
是
所在平面内的一点,
为
边中点,且
,那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f771dfc4f11a4157618a21dfce97d2a6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ac88738bf9c6e5e15391cb194c7a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 在平面直角坐标系
中,已知
,
,那么角
的终边与单位圆
的交点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efddd910ed9567b2949b34dd97ded34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0134d57e0c86a60b58226a8dfc105269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 北京天坛的圜丘坛分上、中、下三层,上层中心有一块圆形石板(称为天心石), 环绕天心石砌
块扇面形石板构成第一环,向外每环依次增加
块,下一层的第一环比上一层的最后一环多
块,向外每环依次也增加
块.已知每层环数相同,且三层共有扇面形石板(不含天心石)
块,则上层有扇形石板________ 块.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ad44fe45de966a95a3550f530ea778.png)
您最近一年使用:0次
名校
9 . “
”是“
为第一或第三象限角”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7145e47bd5e3ddeee34a4b0bfa9ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-04-10更新
|
1517次组卷
|
2卷引用:2024届北京市延庆区高考一模数学试题
解题方法
10 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a525e811ffc32387348f431b04c32225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2050824c1717a50f9da5da873d2be475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504fd6f6b38162030002eec1a2ef6f48.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次