解题方法
1 . 已知函数
,则函数
的零点个数为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f98226b7b8e67169c63fb59531d29a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2 . 已知
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ 时,
取得最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0e569b75e46178451e7e70a51bb6b4.png)
您最近一年使用:0次
2023-02-19更新
|
293次组卷
|
2卷引用:北京大兴区教师进修学校2023届高三下学期开学检测数学试题
解题方法
3 . 在长方体
中,
,线段
有一动点G,过CG作平行于
的平面交BD与点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/61fc8419-2fad-4000-a42e-eb7fac24c94e.png?resizew=180)
(1)当G是
的中点时,直线BD与平面CGF所成角的余弦值为________ ;
(2)当直线BD与平面CGF所成角最大时,此时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af5b8a7b06dc4dc4a858cdfaa340fbc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245c24bc367dadfa17a54f98b6552af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/61fc8419-2fad-4000-a42e-eb7fac24c94e.png?resizew=180)
(1)当G是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
(2)当直线BD与平面CGF所成角最大时,此时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af5b8a7b06dc4dc4a858cdfaa340fbc.png)
您最近一年使用:0次
解题方法
4 . 已知数列
是满足
,且
,
,数列
,且对任意
,
,
,则
的值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f631dc98afe3ef360495d97a5f6805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4e540d89c9754a2bb49169747f438d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a0eecb5b800fce9ae10aed86ffee62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfead39f5fc9eeb3f1447210b55e3390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de503f70b5fb3ea9e5e0f18eafe5c949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb33668f43fc20e14926f8d3ae929d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170283aade2c4bf2e8464e3fc8d8f4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5087b65850c79e65452645719f176b.png)
您最近一年使用:0次
5 . 如图,在扇形
中,
,半径
,将扇形
沿过点
的直线折叠,点
恰好落在
上的点
处,折痕交
于点
,则折痕
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a1bcaff75f42da99fd3698cce042aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd576b32c25a1fb838bd60af30ced82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/69a20b4e-7b24-41dc-90f0-c2c107c8195e.png?resizew=224)
您最近一年使用:0次
6 . 为了估计鱼塘中鱼的条数,养鱼者首先从鱼塘中打捞100条鱼做上标记,然后放归鱼塘,经过一段时间,等有标记的鱼完全混合于鱼群中,再打捞200条鱼,发现其中带标记的鱼有5条,则鱼塘中估计有______ 条鱼.
您最近一年使用:0次
7 . 如图,一次函数
的图像与
轴的交点坐标为
,有下列四种说法:
①
随
的增大而减小; ②
;
③关于
的方程
的解为
; ④不等式
的解集是
.
其中说法正确的有______ (把你认为说法正确的序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
③关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c8dfa0fb17907bb65f5906fe342e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2873942b9f3141213ecd93f42aa270d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
其中说法正确的有
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/92613e28-8e25-49c8-ae5f-0357c8fe38e4.png?resizew=158)
您最近一年使用:0次
8 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5518fa31169445fa19b48eec946e3413.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5518fa31169445fa19b48eec946e3413.png)
您最近一年使用:0次
9 . 已知关于
的一元二次方程
有两个相等的实数根,则
的值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe01b2e0ac892bf898df899e86c26fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
10 . 把
进行化简,得到的最简结果是______ (结果保留根号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb7a7fc75bdcaa6f35ff1798051c6d2.png)
您最近一年使用:0次