解题方法
1 . 已知圆
经过
,
,
三点,
(i)则圆
的标准方程为______ ;
(ii)若直线
关于
对称的直线与圆
有公共点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd02ef5bf6f4fd27de63840cf97021.png)
(i)则圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(ii)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 在长方体
中,
,点
为侧面
内一动点,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407eeb34204a1df967b8fbe481cb04d.png)
平面
,则
的最小值为__________ ,此时点
到直线
的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febe773ba9273dc5668bdb3fbe039695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407eeb34204a1df967b8fbe481cb04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407eeb34204a1df967b8fbe481cb04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
您最近一年使用:0次
7日内更新
|
210次组卷
|
2卷引用:广东省深圳市光明区高级中学2023-2024学年高三下学期5月模拟考试数学试题
名校
解题方法
3 . 函数
的定义域为
,对任意
,恒有
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e663df07f3e3e4c32c752189dd66940.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d41a210e61d9a8a6c8426d12ba55ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e663df07f3e3e4c32c752189dd66940.png)
您最近一年使用:0次
名校
解题方法
4 . 随机变量
,
,随机变量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a410f3a274456b579cc10d8a32ee012c.png)
________ ,
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5561436e6294086d5aaee7bccbf33f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f2df2eeceaff9219ee91f2986bf69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a410f3a274456b579cc10d8a32ee012c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f412feb8dcad5599ddfe1d1ceb00ac0b.png)
您最近一年使用:0次
解题方法
5 . 在一个抽奖游戏中,主持人从编号为
的四个外观相同的空箱子中随机选择一个,放入一件奖品,再将四个箱子关闭,也就是主持人知道奖品在哪个箱子里,当抽奖人选择了某个箱子后,在箱子打开之前,主持人先随机打开了另一个没有奖品的箱子,并问抽奖人是否愿意更改选择以便增加中奖概率.现在已知甲选择了
号箱,用
表示
号箱有奖品(
),用
表示主持人打开
号箱子(
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da32d4557425a87a38ff04508ad23b49.png)
______ ,若抽奖人更改了选择,则其中奖概率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14db37344529d273e36d835241d0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6032aee742b136f8ea08073426fcb2d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc5c895153932c3e827a464664cef90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a178c7e14ef6a6e7873cd9d281fc1935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da32d4557425a87a38ff04508ad23b49.png)
您最近一年使用:0次
解题方法
6 . 已知
中,点
在边
上,
,
,
,则
的面积为______ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284e282bb1d9fbf8634b3506ee5358ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44255421dbf68d84f86551b34a57656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e39bee1445161f91213c83b498b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1a106e4f1a3d3f9efddb4dc4c63664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
您最近一年使用:0次
7 . 如图,画一个正三角形
,不画第三边;接着画正方形
,对这个正方形,不画第四边;接着画正五边形
,对这个正五边形,不画第五边;接着画正六边形,……,这样无限画下去,形成一条无穷伸展的等边折线.设线段
与线段
所夹的角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80d0f3dad27612551f58d5336e7ec8b.png)
______ ,满足
的最小
值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa6e3afb5196decc6f087cbfe40cf8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34850bacdfff1f9399dcb469bfd5fc52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7504c254067838fcdb035ddb587ecb98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5d6940ef122dcb071e361c7161c82b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83385d38130f7c5b95ae7597c453dc26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ea6161f6a4419ee6e5b558e8a55c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80d0f3dad27612551f58d5336e7ec8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111bc79dc2f78e1a2513c2d396ad8cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
8 . 已知实数
满足
,则
的值是__________ ,
的取值集合是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1845c3646482ae17a78dba94c01352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
9 . 将函数
的图象上所有点的横坐标伸长到原来的3倍,纵坐标不变,得到函数
的图象,则
的最小正周期为______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce141d3615b29989ddda81ff7d680647.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28139116f0a173e5d42f587653b1c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce141d3615b29989ddda81ff7d680647.png)
您最近一年使用:0次
2024-05-25更新
|
281次组卷
|
3卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
名校
10 . 已知函数
的图象与函数
且
的图象在公共点处有相同的切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_____________ ,切线方程为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d0dc92a27607527c93605222193377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a5cdb1549584b9586575c64a13ca3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2024-05-22更新
|
1168次组卷
|
3卷引用:广东省部分学校2024届高三5月联考数学试卷