解题方法
1 .
的内角A,B,C的对边分别为a,b,c,且b是a,c的等比中项.
(1)求B的最大值:
(2)若C为钝角,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求B的最大值:
(2)若C为钝角,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e188dce787593675ab005b13bfc64517.png)
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2 . 已知函数
.
(1)当
时,求
的极值;
(2)若
恒成立,求实数
的取值范围;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b48e39514c9e9909e94fc5745355cfa.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274961e116aff1637d4bc3ac4944ce5.png)
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5卷引用:四川省成都市郫都区2024届高三上学期阶段检测(三)文科数学试卷
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解题方法
3 . 设函数
的函数值表示不超过x的最大整数,则在同一个直角坐标系中,函数
的图象与圆
(
)的公共点个数可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1550a97c21c1d71c9e95dde569668be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bd56acbaed7465cc7b453fdccc0aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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3卷引用:2024届广东省深圳市二模数学试题
4 . 如图所示的几何体是圆锥的一部分,
为圆锥的顶点,
是圆锥底面圆的圆心,
是弧
上一动点(不与
重合),点
在
上,且
,
.
时,证明:
平面
;
(2)若四棱锥
的体积大于等于
.
①求二面角
的取值范围;
②记异面直线
与
所成的角为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cafac5bb0e6d2bea4bd16b1f0d2e899a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0825161b7088d1415e8ed396cbe4007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d709bff619f3b55f8adf43db0b53eae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c142bcb49bf09788d4790b198b184b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceb0a3e6aaa2754aa3f67cfd13d1dde.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28ba8a560e3b54f9346f2a6a805c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004b3257c1daa6a54e90a349d3339926.png)
①求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097ca5c5afa3d2598de2ef821906e438.png)
②记异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a282d19bf2c827a98d4443330f7ca1.png)
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5 . 已知向量
,若向量
在
上的投影向量为
,且
与
不共线,请写出一个符合条件的向量
的坐标________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6404634355bb31936069b7c216272c18.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/81cdfd82868aefda05f52913dfd762a6.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/64c5562bd4d1b54424330cb6329cd79d.png)
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6 . 已知复数
满足
,其中
为虚数单位,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a5de8e3cec4400e1df71d8943403b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
A.![]() | B.1 | C.![]() | D.2 |
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2卷引用:江西省南昌市八一中学2024届高三下学期三模测试数学试题
22-23高三下·上海浦东新·阶段练习
名校
解题方法
7 . 如图
为正六棱柱,若从该正六棱柱的
个侧面的
条面对角线中,随机选取两条,则它们共面的概率是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0395bb06ff1e38eaf3e5f7a5a790b269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/23/a583484c-1c23-4179-8c96-1e4e919855a0.png?resizew=160)
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10卷引用:上海市浦东新区上海师大附中2024届高三下学期3月模拟考试数学试题
上海市浦东新区上海师大附中2024届高三下学期3月模拟考试数学试题(已下线)上海市华东师范大学第二附属中学2023届高三下学期3月月考数学试题(已下线)专题3 立体几何与排列组合上海市上海师范大学附属中学2023-2024学年高三下学期3月月考数学试卷(已下线)压轴题04立体几何压轴题10题型汇总-1(已下线)立体几何与空间向量-综合测试卷B卷上海市行知中学2022-2023学年高二下学期期中数学试题(已下线)核心考点10计数原理(2)广东省东莞市东华高级中学、东华松山湖高级中学2022-2023学年高二下学期第二次学习效率检测数学试题上海市向明中学2023-2024学年高二下学期期中考试数学试题
8 . 已知
,
分别是椭圆
的左,右焦点,
是椭圆
上一点,
的角平分线与
的交点
恰好在
轴上,则线段
的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa5a13947cff38d6380e19489c282bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 已知集合
,集合
,若
有且仅有3个不同元素,则实数
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3200fb8ac2cef195e675ff6075cb0989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab4044f44f969456844053b74e91e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.0 | B.1 | C.2 | D.3 |
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3卷引用:安安徽省安庆市示范高中2024届高三联考(三模)数学试题
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解题方法
10 . 已知圆锥
(O是底面圆的圆心,S是圆锥的顶点)的母线长为
,高为1.若
为底面圆周上任意两点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
A.三角形![]() |
B.三棱锥![]() ![]() |
C.四面体![]() ![]() |
D.直线![]() ![]() ![]() |
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