证明等式：[tex=14.286x1.357]4WJ9njBLh0HEm07XrYKfuxu9QSFAL0IE4ZnxrVf2KxCtkTMQyNdU4ywddKt/SgZLhKIqEp9kdYxSd+CJbch2HLchLw4Pc1jvhZVov1Tu/7I=[/tex]。

证明下列公式是重言式:[tex=14.286x1.357]q/km3EI1qTa2SP+lNayKXfFPNe5WTLvjrg7jKK2hYqVDN4V3FgDZrEm8mEeBtZ7+HNAywu0l3fkxyVI4GEAX9ASyGLTGzFb+ZvOApt3VarUoKmw0wR6osRRG4zBsl65z[/tex]

设 [tex=14.286x1.357]94B2LCjPPkm3FIiaws0PHWhRHMiWJi1wXfjcXMa2c1XJ11LSzSj6g4CNGT+zrLr5[/tex], 应用链式法则计算[tex=3.143x1.429]N7iGLlkasT02DjEtmZm68LWG9tx6bzLAR/4D9i6MKZo=[/tex].

设事件[tex=3.143x1.214]gAxiAFTvl+RU0JS+PECeaA==[/tex]同时发生时, 事件[tex=0.857x1.0]m2DKAQtGuc1DyN3zyNlILg==[/tex]一定发生, 则有 未知类型：{'options': ['[tex=10.857x1.357]icJjlv+wT2fQVEjsyl8gK+YzhsjPC/aoyHhYQbps7DI=[/tex]', '[tex=9.357x1.357]icJjlv+wT2fQVEjsyl8gK65O4kTE4rPa6fn8a7Dtekc=[/tex]', '[tex=14.286x1.357]HJiP9ZXhdGJFqiKEWfXT21sEAAhZq10dxoOaFH1w0r8=[/tex]', '[tex=14.286x1.357]HJiP9ZXhdGJFqiKEWfXT28oamDus3XC7pVKl/bvgT68=[/tex]'], 'type': 102}

试画出下述语句表所对应的梯形图。[tex=18.357x1.357]CeOWlpLvH8Qhk/RmfIvBHfV73ofzk9Xs9dnnbaas+Taz++TpQt1caAemmthk9ay7LJqSIqJ4b7xJgHkqDF7DO79CnjZ6zNeQ9ipVn5HqRthxDslwduY5tMIdrnECom6i3TaxgkubgT8XwjVF33whhtEDWVOImmTDVsS0lxj9/zU=[/tex][tex=14.286x1.643]CeOWlpLvH8Qhk/RmfIvBHZzu+qoAzvD6M0SEBvMhx6vgYtb+a2d9TmzT+Tm35XrX3Vx8czd0d/XSyDVHaN3Y/qPK6wQek8SWbXgZYSd727O9+zg67B+YnslyuTSpE1RF[/tex][tex=14.286x1.357]CeOWlpLvH8Qhk/RmfIvBHag/V3PxdUvdQSvOYwiX1iMooVJeJaLFhrdAJOoeirpYnO3iE7wJ4kpO6+ihErt1rIu1q6xxc647uMY3jaj1nfW8Pirr7UIaYcDXvjTS63M+[/tex]

设[tex=0.714x1.0]UsTt0JMISB2vmq9eVGUHdA==[/tex]，[tex=0.857x1.286]ZpwhzmyivskaH5M1X7ozaQ==[/tex]和[tex=1.071x1.286]U4awQ74hGmTHJgQmKU0Jmg==[/tex]是线性空间[tex=0.714x1.0]Hl8mr56J4t0Ek5ZoqbFYYg==[/tex]的子空间，证明：[tex=14.286x1.357]P0nwR6jR4Kz0NYaILIZksRa3KUpQ18i8T9ZM7e2wALg7rYREaXq6YtDH5oERgVCx[/tex]。

试证明下列命题：设 [tex=2.071x1.357]1f4Wyq/DKl1JkV1UemhujQ==[/tex] 是 [tex=1.286x1.0]LVtrVoR3luZyUPe3gwSlPw==[/tex] 上的非负可积函数,记 [tex=6.429x1.357]UCWsz1Po+HWMixdEjmHcxw1+jXlQFMVv4ObOR3MHKZM=[/tex] .设  [tex=9.357x1.5]DND0cv4XyUlyDAEjWqzpWPGZgtjLnSeEVoKZpYPf7ET+Z8yoF/5wWagAuhszGPOGcLomiuqw4mfYh4+BNa1IbfbNsXgpl0PmKbwlswJurrg=[/tex], 则[tex=14.286x1.357]Yt6cqBZEjYnKurWZbDk0jBUERgA6zDwyQpqSGH+VvDQ4FSqaSqy0rqiG5qDzB0QslKTwTXX6ZlnbKjUIY24ViVYKhoZAhYsBJJ7bUTF+xbEDiVxJlzvKk+WXNUmlzA7e[/tex]. 

在[tex=1.214x1.214]mjFmVzVLrMjMWnebWd6D1A==[/tex]中，下列变换为线性变换的是（    ）。 未知类型：{'options': ['[tex=13.071x1.357]A84hoinsDNvmu//7NvY6GA3Kg/ifUDCZUTNHb9aRysP1UlzidD+NNJ8qf0pmxOndKVIcURrIfEvJRBN6l7KL3YN73YKMQEAG19+ta7U9GHClJv41KDh9REwcxrTi/WeB[/tex]', '[tex=15.5x1.357]lnrAUJgElu+EsMroH4zhBrJnhktgcRkdRi7GPA2owWu1EnAc17VYWWyuLjY6c2W4alKypHayQjxzxh1mv+Hh4XknCy7lO0j5nch/GwLM02NL6NbrlwrYV2cYhSeuABM5[/tex]', '[tex=11.643x1.571]iAqdrcT9W6IS5YEdq/aI1hnsEPSYaClPHmgCSrSYaD0uQ6FMOMYgIDc4uxbscCJLR+wulNM7mFh+UNZ2n9tVYnawVA7ATlVj05lSV+0pDj9qzs3b3UhGZDz3pclRkKtt[/tex]', '[tex=14.286x1.357]KBvmtH4P7kQAbx9U0Wka+RcCs7Wb359BWVl+SDkAUvHNz6iA52zwxHHqu5FFhENrOxPCD1xzC2H+Xeidh3mPsX0knGliAe6+Bo0iJKoNA91qYMxPzja67+pvmV/07la6[/tex]'], 'type': 102}

在[tex=1.214x1.214]mjFmVzVLrMjMWnebWd6D1A==[/tex]中，下列变换为线性变换的是（    ）。 未知类型：{'options': ['[tex=13.071x1.357]A84hoinsDNvmu//7NvY6GA3Kg/ifUDCZUTNHb9aRysP1UlzidD+NNJ8qf0pmxOndKVIcURrIfEvJRBN6l7KL3YN73YKMQEAG19+ta7U9GHClJv41KDh9REwcxrTi/WeB[/tex]', '[tex=15.5x1.357]lnrAUJgElu+EsMroH4zhBrJnhktgcRkdRi7GPA2owWu1EnAc17VYWWyuLjY6c2W4alKypHayQjxzxh1mv+Hh4XknCy7lO0j5nch/GwLM02NL6NbrlwrYV2cYhSeuABM5[/tex]', '[tex=11.643x1.571]iAqdrcT9W6IS5YEdq/aI1hnsEPSYaClPHmgCSrSYaD0uQ6FMOMYgIDc4uxbscCJLR+wulNM7mFh+UNZ2n9tVYnawVA7ATlVj05lSV+0pDj9qzs3b3UhGZDz3pclRkKtt[/tex]', '[tex=14.286x1.357]KBvmtH4P7kQAbx9U0Wka+RcCs7Wb359BWVl+SDkAUvHNz6iA52zwxHHqu5FFhENrOxPCD1xzC2H+Xeidh3mPsX0knGliAe6+Bo0iJKoNA91qYMxPzja67+pvmV/07la6[/tex]'], 'type': 102}

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}