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1 . 已知eqId5604c725fe9e42cc8dba36ba3e0e9905,使得eqId18b2b7b8ccc94327aa39e200c301746a,若eqId4709921b49aa461ab528c08c3958d2de恒成立,则实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围为(   )
A.eqId9dd26487d15a4bf2a57dd07c2dac28e9B.eqIddeebe54e710a4de79559903418228321C.eqId4f008aee9dfe4bddbc0b492ff34f089eD.eqIdaf5583285d2d4f45aacb12a1d4fdb89c
双空题 | 一般(0.65) | 2021·江苏高二期中
2 . 如图,煤场的煤堆形如圆锥,设圆锥母线与底面所成角为eqId8f6eb985ce744036ade33a9d8650f7f8,传输带以0.9eqId6c791b4b6837407694869ff604041600的速度送煤,则r关于时间t的函数是___________,当半径为eqIdcf5311ca79604bcdaf0132f2874c6fa0时,r对时间t的变化率为___________.
说明: figure
3 . 函数eqId2df0b2d26a634737b00d71359cc44b0deqIda0b80884609045aa80938559253039bc.若eqId48235dab5a5f43c8a9b8396a9bc6f58e,则eqId17b4d040b15c468baec6cf53f13ef8bc的最小值为(   )
A.eqId686485487f114e17bfb3af44f290ddf1B.eqIdfda2f40c1dde4c8f8ad79d388c957fbb
C.3D.eqId52ef9cda12e5410dafc3bfcf1840555b
4 . 函数eqId26341b6868e7475099443cf18281e403的图象上存在两条相互垂直的切线,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqIde7d1c26d54ad46ceab47ce4cfcef8d21B.eqId9cd751ffa2ff4534ba236868e58393f3C.eqId86e08bc1d3a24fa4b070a424c0670fffD.eqIdde46290baec04ea1a59331d8d94f28df
单选题 | 一般(0.65) | 2021·全国高三其他模拟(文)
解题方法
5 . 已知eqId786a816ceaf94b95b47038bcdc7cf473,若eqId48d5b502faf7431a99cd51bc8f6610c9eqIdbcecebc1d98f4cb5a98770df854d8cf2eqId3086fb9f19404f4486c88e02e3bde84d,则eqId0ce93bfa1f6a4a23b3258410dd19847a的大小关系为(   )
A.eqIdde23c9bee5f2497a98f967afa9b73a7aB.eqIde20b3cdceb054975bbbb3a4598602baf
C.eqId45615ef0900647268b98d1d5eeb28a58D.eqId0d0cc8a6003c4e21bacd608a53c711cf
6 . 已知函数eqId2d0ef35408864c6da7c629a95caecb7b的导函数为eqId39f6d0ac61bb453890de392f136c3074,其中eqIdf035b8f27d4645bb9f6a66f4a3f51918为自然对数的底数.
(1)若eqIddfd22fbc6b264ba0b9a64ba634999fc0,使得eqId91bbcb96f77f45adb9acf41c9aae9480,求实数eqId69f56ef2c88b4b73a560da59f5247a82的取值范围;
(2)当eqId07a0ec30b5c1453c8ff1ef684221a210时,eqIdfe2ea7309fbe481f9f08891553878988eqId99a830550c1f4969b4aded605cf611c6恒成立,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
7 . 已知函数eqIdf6d14777469f4aa19f5e17efc2f0b0de.(eqIdf035b8f27d4645bb9f6a66f4a3f51918是自然对数的底数)
(1)求eqId6f13759e937144069819aed2ae5a1057的单调区间;
(2)记eqIdec7c2d882f244dc1ac6759f4372c8ba9eqId1e6526b6be0b4720b1b54e7449bc163f,试讨论eqIdfcaf3bbe14e548cc8d47beb2467db5a0eqId0727a255231a4f4ebca486d580c963c9上的零点个数.(参考数据:eqId2919663f5c1e40c4bdcbed6624ec020f)
8 . 直线eqId970e1d59d6e54cc69b2967ef6466c918与函数eqIde327ce33e6304f0bb9b837d013167ddd的图象分别交于AB两点,当|AB|最小时,eqId69f56ef2c88b4b73a560da59f5247a82为(   )
A.1B.eqId5f816d038c584dc7a249120298677ef3C.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqId62dbc501cbe74612b657a1d9a2a864c5
多选题 | 较难(0.4) | 2020·湖北高三期中
9 . 已知曲线eqIdae1b23235f4c4d96a928f4f913153f96与曲线eqId2e7588459b8a4b9f9aeace7f6c71da05有公共点,且在第一象限内的公共点处的切线相同(e是自然对数的底数),则当m变化时,实数a取以下哪些值能满足以上要求(   )
A.1B.eC.eqIda211283b76d14e60b543c41457ba4ccaD.eqIde431dd7c6f9b45ce902a6bff721ae006
单选题 | 困难(0.15) | 2022·全国高三专题练习
10 . 已知函数eqIdfed7e2b3ddfa4eefa277bd8edf0f3831,若函数eqId4837c94ef0ff4dcf9b1dda4df363275a有三个极值点,则实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围为(   )
A.eqId5545c088cf0e4b249f61d412aabad032B.eqId06647ecaeef641eabe63c757024d0624
C.eqIdf8f45cb63fee47f6861060f58847bc07D.eqId0169562bb01b4ae3ae5d99a638277c27
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