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单选题 如图,AB是斜靠在墙上的长梯,AB与地面夹角为α,当梯顶A下滑1m到A′时,梯脚B滑到B′,A'B'与地面的夹角为β,若tanα=
,BB'=1m,则cosβ=( )
A. 
B. 
C. 
D. 
学科：高等数学
时间：2024-09-26 15:08:54
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题目1单选题
<img src="https://tihai-oss-cloud.itihey.com/img/6d208c23fe390d78c152601a3f97a92f.png">=( )A. 4B. <img src="https://tihai-oss-cloud.itihey.com/img/139bf4ef972f36702bfbf5b9b58342be.png">C. 2D. <img src="https://tihai-oss-cloud.itihey.com/img/2cddaa83e32a9c17971ec07988a2ac6c.png">
题目2单选题
如图,AB是斜靠在墙上的长梯,AB与地面夹角为α,当梯顶A下滑1m到A′时,梯脚B滑到B′,A'B'与地面的夹角为β,若tanα=<img src="https://tihai-oss-cloud.itihey.com/img/779963ee1d4208bf525de459c2c9a807.png">,BB'=1m,则cosβ=( )<img src="https://tihai-oss-cloud.itihey.com/img/cf2f2505d7620a01cc951d9f7228252f.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/b9febc74c112d3724a163c7b9b968758.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/fe586745dbe4ad22caaa820fb7677948.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b5b4c26fc923f2811714b0636d5a52a2.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/ed09b1093c49da4bc23ee4f044273bad.png">
题目3单选题
如图,在△ABC中,AB=AC=10,点D是边BC上一动点(不与B、C重合),∠ADE=∠B=α,DE交AC于点E,且cosα=<img src="https://tihai-oss-cloud.itihey.com/img/b5b4c26fc923f2811714b0636d5a52a2.png">,则线段CE的最大值为( )<img src="https://tihai-oss-cloud.itihey.com/img/6f97810d515b05b17a93590f98922f8f.png">A. 6.4B. 8.1C. 9.2D. 7.5
题目4单选题
函数f(x)=ax-b的图象如图所示,其中a,b为常数,则下列结论正确的是( )<img src="https://tihai-oss-cloud.itihey.com/img/bc46b15ec53957cd2fc17dc84d1011e1.jpg">A. a>1,b>0B. 0<a<1,b>0C. a>1,b<0D. 0<a<1,b<0
题目5单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/4fbb38a85c5de379a3a322b2a2e612ed.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/555d9a96a86a2888189bbf2e1a8275ec.png">()A. <img src="https://tihai-oss-cloud.itihey.com/img/43be97f51bebe60e0d33a9d3840dc6ad.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a81a6f2fbbd08f94543db5fa50363ae6.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/4b274ea9e4d801b0ab3464c73d367b4a.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/1a2fff4865be2e7882d7f490d74ecb63.png">
题目6单选题
如图,在△ABC中,BD⊥AC,AB=6,AC=5<img src="https://tihai-oss-cloud.itihey.com/img/b8794384c7480dd3ef0955f90a9b9bfd.png">,∠A=30°.则BD的长为( )<img src="https://tihai-oss-cloud.itihey.com/img/f35eb8199fac95e1bc391095b0af2cdd.png">A. 3<img src="https://tihai-oss-cloud.itihey.com/img/b8794384c7480dd3ef0955f90a9b9bfd.png">B. 3C. <img src="https://tihai-oss-cloud.itihey.com/img/4c56e53c0f85b6a165f9c3385013fe1e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b8794384c7480dd3ef0955f90a9b9bfd.png">
题目7单选题
若角α是第二象限的角,且<img src="https://tihai-oss-cloud.itihey.com/img/fa8137e9f50abc4a2603265a7a975f6b.png">,则cosα的值为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/09ad9a8a80c88a3903b26378aa4ae609.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d0ce64ae8f4353eb4ec7c8658333579a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b24b48bed4b7132d119bce6887a80eec.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/393d5fb6c6754179dfedf12a0715b639.png">
题目8单选题
算式<img src="https://tihai-oss-cloud.itihey.com/img/f198547e6b8dd37bf9f8e6501cd06b88.png">的值为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/2a6ed9b4126a4ad52b5721229ab801fd.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bbdc9bb3d9016c19b11c1d88e44eaf25.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/154cbb52818e2a519e4ece9c41171b4a.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/07099c9f957dd4aa697186b27be9c10f.png">
题目9单选题
如图,在四边形ABCD中,<img src="https://tihai-oss-cloud.itihey.com/img/6c92f40f4486009f45a9310014411c7c.png">,<img src="https://tihai-oss-cloud.itihey.com/img/1c8ebdc9a697d8ff3ad605bda57f4a85.png">,AB=4,AD=5.则AC的长为( )<img src="https://tihai-oss-cloud.itihey.com/img/daa00f335a0aba768831ea326b74f789.png">A. 2<img src="https://tihai-oss-cloud.itihey.com/img/bebcafea07236ae724b04fd444b8dda7.png">B. 2<img src="https://tihai-oss-cloud.itihey.com/img/b8794384c7480dd3ef0955f90a9b9bfd.png">C. 2<img src="https://tihai-oss-cloud.itihey.com/img/c8076653438d0ed96b356a393b75dae7.png">D. 2<img src="https://tihai-oss-cloud.itihey.com/img/50d39017aab69f2d13ef25a8829bafc0.png">
题目10单选题
已知<img src="https://tihai-oss-cloud.itihey.com/img/4048d1ad368efb946214e36f121943e0.png">且α是第四象限角,则<img src="https://tihai-oss-cloud.itihey.com/img/787c4685869355569d71afa990e8637b.png">的值为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/0dc8989a0582bfcce04dff4db4428f64.png">B. -<img src="https://tihai-oss-cloud.itihey.com/img/0dc8989a0582bfcce04dff4db4428f64.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0bc2fa294b1dffeeb3e7aab5ba0537f2.png">D. -<img src="https://tihai-oss-cloud.itihey.com/img/0bc2fa294b1dffeeb3e7aab5ba0537f2.png">
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