解题方法
1 . 如图,在四棱锥
中,底面
为正方形,
底面
,
,且
.
;
(2)当
为钝角时,求实数
的取值范围;
(3)若二面角
的大小为
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff3a0867937eaa4ca6900adfbecd8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf7324df78fef873d61925f832b7b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbd1316b9d1f0c1e71fd078deec61f6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66efb2e5b7aa63e8561be256d691fc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/324a1792318a3528772781fac2b4d2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53bdef2e7a7929ad6190302ab44c46c0.png)
您最近一年使用:0次
名校
解题方法
2 . 定义空间中既有大小又有方向的量为空间向量.起点为
,终点为
的空间向量记作
,其大小称为
的模,记作
等于
两点间的距离.模为零的向量称为零向量,记作
.空间向量的加法、减法以及数乘运算的定义与性质和平面向量一致,如:对任意空间向量
,均有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53bcfdf754e71318fb8329b8e7c09264.png)
,
,
;对任意实数
和空间向量
,均有
;对任意三点
,均有
等.已知体积为
的三棱锥
的底面均为
,在
中,
是
内一点,
.记
.
(1)若
到平面
的距离均为1,求
;
(2)若
是
的重心,且对任意
,均有
.
(i)求
的最大值;
(ii)当
最大时,5个分别由24个实数组成的24元数组
满足对任意
,均有
,且对任意
均有
求证:
不可能对任意
及
均成立.
(参考公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c082be7f93f355e1ca70588a4a89aead.png)
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fde0a8b4ec1e2fff42cee3fc54c0f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fde0a8b4ec1e2fff42cee3fc54c0f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49da589810153e2ec39ed656a2b61f4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12de8a4f788ff23d36e74c811354779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53bcfdf754e71318fb8329b8e7c09264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3ff5e2f25dfebafaf8db07712ff706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff47a4801df7bc7bce1cb52327a7b174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e0a953946d9e878aa017c7f24ffb40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0714b48d55f6b0854fb90a4255bc49c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fa157b4f65f3a9aa1f7f82de02e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1e19465c82977a26ca6900622ee1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718ba76bf48024ca425948e470e60042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c761455094dc4913de76122017a243dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48ac6b0dda0647d7dad3287ce4ad258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d131fd570dc36b912396dc2dd06405c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4aeda1e642ce85f1c0394bc419bda8e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49f84442a1b38f27ac977214cd4b688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902a402a179a09f74f2391fb5cb4ae6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247daad150250fc13a230d5375adda93.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(ii)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab39849dc21c8c68cd5cde0911d5db23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a61e6011a0717ef57516821d0407a656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae3155971b2bb3c9d68b43e14b7186f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ffe9f4e3243bd760835af03fa7ffe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c053ebe33366203ad0eca474760118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d05f59bfd6b1f55920e73653bf87a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ffe9f4e3243bd760835af03fa7ffe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db09e9844b90e46a6f2f5a710b6a3451.png)
(参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c082be7f93f355e1ca70588a4a89aead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2343b61be295955a2b9baea86202f32.png)
您最近一年使用:0次
2024-06-13更新
|
335次组卷
|
2卷引用:重庆市巴蜀中学校2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
3 . 如图,在六面体
中,四边形
是边长为2的正方形,四边形
是边长为1的正方形,
平面
,
平面
,
.
与
共面,
与
共面;
(2)求证:平面
平面
;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddbb0422a136f45653c8c369f2d75fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddbb0422a136f45653c8c369f2d75fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a8a0914a91a95faf8d82f175367f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df00cdf77ed39ca5a0b305861a693142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96946eaa2878fb8433eb2a97797a32b.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cbb74984939d59964559c3560ef7ba.png)
您最近一年使用:0次
解题方法
4 . 如图,在四棱锥
中,
为等边三角形,底面
是矩形,平面
平面
分别为线段
的中点,点
在线段
上(不包括端点).
,求证:点
四点共面;
(2)若
,是否存在点
,使得
与平面
所成角的正弦值为
,若存在,求出
,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e78042a384255038de485fd7bc0839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1995c33caa487cf6d5410218590f129b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa364dffb98a94fb8285c2cdb9ad14b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4e54e5f68aba2836820c09e3847cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512efef36576084492bf3b06131fbdcf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58da37b3d1dbd2fee75089d5ba28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e108d5c61e85e0741ec2c484fc5768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8df877496fdae8f20414130174368.png)
您最近一年使用:0次
2024-05-16更新
|
495次组卷
|
2卷引用:安徽省皖南八校2024届高三4月第三次联考数学试卷
解题方法
5 . 如图,矩形
是圆柱
的轴截面,
分别是上、下底面圆周上的点,且
.
;
(2)若四边形
为正方形,求平面
与平面
夹角的正弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbe2aba242716238b79c46bb1f40e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25ac7d48390e804f9d11597b26f14a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1089f40864a8ec79bf544ab7ff1cc43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2612c3ed33135b60b5a08c173c9f84.png)
(2)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2330c01a4d2b5b20f106e3e48834d5c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
您最近一年使用:0次
名校
解题方法
6 . 如图所示,已知空间四边形
的每条边和对角线长都等于1,点
,
,
分别是
的中点.
;
(2)求证:
;
(3)求异面直线
和
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868a68302dfab497e705816c2b1c9708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643493af30a14550f145f5394efed45f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb023313112cd8a6068d013fdcc9a193.png)
(3)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,已知四棱锥
的底面是菱形,对角线
,
交于点
,
,
,
,
底面
,
,
分别为侧棱
,
的中点,点
在
上且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/791c1de8-e2aa-4482-908d-a347e465884c.png?resizew=159)
(1)求证:
,
,
,
四点共面;
(2)求直线
与平面
所成角的正弦值;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3dfcd8aff269dd5aba398816490c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ba1df94176a1f769c7a0a12bf357fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637331a6bcf269d7d3487ee4cfb536f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc6f007dbf1c1a36eb031e520608403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed30b73beeccafd4ec854237b33e1e2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/791c1de8-e2aa-4482-908d-a347e465884c.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
您最近一年使用:0次
2024-02-14更新
|
427次组卷
|
3卷引用:河南省济源市2023-2024学年高二上学期期末质量调研数学试题
河南省济源市2023-2024学年高二上学期期末质量调研数学试题(已下线)第3章 空间向量及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)江苏省连云港市东海高级中学2023-2024学年高二下学期第一次月考数学试卷
名校
解题方法
8 . 如图,四棱锥
中,
平面
,底面是边长为2的菱形,
,点E、F、G分别为线段CD、PD、PB的中点.
平面PAD;
(2)求平面AFG与平面PBC夹角的余弦值;
(3)设直线PC与平面AFG的交点为Q,求四边形AFQG的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764dcbb8b7857a698a7333175184e098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31d54d125c042169e282f14eddd45a1.png)
(2)求平面AFG与平面PBC夹角的余弦值;
(3)设直线PC与平面AFG的交点为Q,求四边形AFQG的面积.
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解题方法
9 . 如图,在直三棱柱
中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba357848ad142aa9148e00fc870bd0ed.png)
分别为
的中点,点Q在线段
上.
时,证明:B,N,M,Q四点共面;
(2)若平面
与平面
夹角的余弦值为
时,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8fc105005e7729265e3c323d2f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e3fdbefa316ae91500cdd733d9b434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba357848ad142aa9148e00fc870bd0ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba357848ad142aa9148e00fc870bd0ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427cc63f75859eb6bc743912d0922cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab35850dbc661ded6456b70767cc6cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46da02bc9f46b50f02f4b5eacbe030f8.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c2a027965686aede86ec1843b78962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e9850904cb6d52d2294b7acbedf418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a7dd471434c923f76809dfa5ee183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42b618e1cd0f3a7c27816d86fbe3907.png)
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10 . 如图,在多面体ABCDEF中,四边形ABCD是正方形,
,
是
的中点.
平面BDM;
(2)若
平面
,点
为线段CE上一点,且
,求直线PM与平面AEF所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8672344d01fe561aefebceea7af3aa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7e36a62ef674140e31c1ba4f1fe2ce.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1100a56e918f75ed6d955a802050f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5019344a09a1a584b1be03c29223a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce797f8d00de0d98b20605ca219df205.png)
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2024-04-23更新
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1832次组卷
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2卷引用:黑龙江省哈尔滨市第六中学校2024届高三下学期第二次模拟考试数学试题