设[tex=3.143x1.357]BNU7QrGb99OWu/H5ydXysg==[/tex]，[tex=3.357x1.357]IRegC8JeIyfoYudk9baNDA==[/tex]和[tex=2.857x1.357]BSu5nfZUDOUmna7U+sUaaA==[/tex]分别为[tex=0.429x0.929]gQzDwVIykgengUJAyMAHkQ==[/tex]时刻的国民收入、总消费和总投资，它们满足如下关系：[tex=13.5x4.214]fnpmC2J6JmQBLyo5NmGAz94SV/L9T8gYwhdCDYxOaTQTOO/jXDyQOzpnr+0icG/LXEnyjVzjkeFv9HJBWUqnhOFk+GYwuMB+e3uWP/GTvOZOvZcMgG08Amwe9vVCtJ0iY/HLBFHf2DnHXmzlhYKYLA==[/tex]其中[tex=0.571x0.786]7G1MINzwputr5mgALyjQfA==[/tex]，[tex=0.429x1.0]dX3JVuFw9r8t2KlWf+/Z+A==[/tex] 和[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]为已知常数 ([tex=0.571x0.786]WLga5RWgrUta8vWDwROpYA==[/tex]为最低消费水平，[tex=0.429x1.0]dX3JVuFw9r8t2KlWf+/Z+A==[/tex]为边际消费倾向，[tex=0.571x1.0]UeUhXtQk9UV0/UjLVRoyYw==[/tex]为投资加速数).(1) 求[tex=1.786x1.357]pwoMZxbh9F3LuYS6o4ca9w==[/tex] 、[tex=1.857x1.357]9wQyPg9aaTkeJ16V2WQJVw==[/tex]和[tex=1.643x1.357]m97Nhia2ijBnyvK32wCzbA==[/tex]；(2) 求极限[tex=3.786x2.714]gWiJ+ZX5vxQKlGr93+60wpxXyThghXAnzzwHg03fde4CXTUJt8QHOQmNLEj3sVrW[/tex]， [tex=3.929x2.714]gWiJ+ZX5vxQKlGr93+60wpxXyThghXAnzzwHg03fde6RzlNNpoC7EnRD3z7tPYb4[/tex].

2022-10-29

设[tex=3.143x1.357]BNU7QrGb99OWu/H5ydXysg==[/tex]，[tex=3.357x1.357]IRegC8JeIyfoYudk9baNDA==[/tex]和[tex=2.857x1.357]BSu5nfZUDOUmna7U+sUaaA==[/tex]分别为[tex=0.429x0.929]gQzDwVIykgengUJAyMAHkQ==[/tex]时刻的国民收入、总消费和总投资，它们满足如下关系：[tex=13.5x4.214]fnpmC2J6JmQBLyo5NmGAz94SV/L9T8gYwhdCDYxOaTQTOO/jXDyQOzpnr+0icG/LXEnyjVzjkeFv9HJBWUqnhOFk+GYwuMB+e3uWP/GTvOZOvZcMgG08Amwe9vVCtJ0iY/HLBFHf2DnHXmzlhYKYLA==[/tex]其中[tex=0.571x0.786]7G1MINzwputr5mgALyjQfA==[/tex]，[tex=0.429x1.0]dX3JVuFw9r8t2KlWf+/Z+A==[/tex] 和[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]为已知常数 ([tex=0.571x0.786]WLga5RWgrUta8vWDwROpYA==[/tex]为最低消费水平，[tex=0.429x1.0]dX3JVuFw9r8t2KlWf+/Z+A==[/tex]为边际消费倾向，[tex=0.571x1.0]UeUhXtQk9UV0/UjLVRoyYw==[/tex]为投资加速数).(1) 求[tex=1.786x1.357]pwoMZxbh9F3LuYS6o4ca9w==[/tex] 、[tex=1.857x1.357]9wQyPg9aaTkeJ16V2WQJVw==[/tex]和[tex=1.643x1.357]m97Nhia2ijBnyvK32wCzbA==[/tex]；(2) 求极限[tex=3.786x2.714]gWiJ+ZX5vxQKlGr93+60wpxXyThghXAnzzwHg03fde4CXTUJt8QHOQmNLEj3sVrW[/tex]， [tex=3.929x2.714]gWiJ+ZX5vxQKlGr93+60wpxXyThghXAnzzwHg03fde6RzlNNpoC7EnRD3z7tPYb4[/tex].

答案：

解 (1) 将后两个方程代入第一个方程，可得[tex=6.857x2.429]qqrWL/FVdQPmDlITQRkiQkXpcK2cinuenFnpRMc7mYgzwW6Z8gS+bFZTcQd+fkKCAOMLitFIXA0iuFGHHGrv2w==[/tex]这是关于[tex=1.786x1.357]c/LC9yEYfL6c7/SaWa7rzA==[/tex]的一阶线性方程，其通解为[tex=8.429x1.429]9tLqR1YARqx1HMbbUhKw38Q28TQZF8DMIUR0LIT6K6Qh9pWaoqsZLsmWf61SLLyf[/tex]其中记[tex=3.5x2.429]rEPHEXkTk7mA4PdnGqV9pwwZlB/GKgWyhA0Jx7WmlDs=[/tex]，[tex=3.857x2.214]KdaQvgssjZbBpSP31qS8QKm6HRuTyMDCjgoEo08QUZE=[/tex]由[tex=3.571x1.357]2Df5c3C/AGabtXjCLJKu1Q==[/tex]得[tex=4.5x1.214]uHQ1qS08HKzZO9j8aAey/geI3FYv85GsMmAMjgLke8Y=[/tex] . 于是[tex=9.571x1.429]AL8VkCJxOoBrRbn+kRFSkYsxFoZKBxlvUljfCSNaQTkK7GWEezkMAZjvjMqdOn2xey5dhq6Oc+L2QFEg0Jzb6w==[/tex]从而有[tex=15.429x7.429]hsyCHD6vFJHvzWGflKhw/CuRavwgQnoFt4XxLhQh7lSiaM2ahgH1yo8QxKx5wqKhKSpisqhuxMeGb5kzYWpO4tqgiE484YYaECivREdPaDtlDl0fGOuFIrf5jHOl0Log/lFzK9rvNEFN5PKedTUfF7fz8uCy6bhuM/yxVY14WzTGlASQS8Gfqg4CSVgYcPNqUwJLyiN3m/SK3Cw6Pd4+tbyEguysjXJN0c/y3qFMA0crpS3YpBsS37hCIgkLRoJdQMGEvLCkaMWXj64XGrWVLzDK0wA2oDlqVlvSfTk6Ye4DsAcy+FRhrTBZ4WI3wE4J[/tex](2)[tex=13.929x2.714]/tFBUXHimx3bXeJmbGYnTizGUC6oM9ufr6Uu841Z4ja1nezjR4+pK6gjjA4BkyizBk4FSHU0ziYBUEnHaJsY0pnz5Et7iU8g36afQXhwOD54F5VQR0gUBAj3rexqQyBd[/tex]可得[tex=6.857x2.714]P+MMr+pgjG457zGlmXvkwHz2tWrYgOQuEKfN4Epdndt4p0Sq0R+ZQlDeZS0xWMDOcl3jtSPVIIsvVZrbozgfwewUEXLVuKG6Ba+j9QK1DFk=[/tex]由[tex=10.929x5.643]i8m2+PaS7m5Q221mLJbdkzBxdUBrZUTRTekmbcut28yxLot9r6+dS+I9EPRJSAvssJxMtZlrrQoHpMyu9cM9mpPXXHBbKslHSXm4OUSZmjRvdxLeq20zY+mnIbwnN7QOYRlfpv7wJP3TWgsyuC+7BxaB7wrkMs4FQ68PVr92BXU/36fx068isnp0m5ThMTiQJiFwo9XZj19mColaKNed8SHcLTz5N7ru7lnG1aEgePlMM1w7SvytHOCrwr7BBXPkiD2rnWQMtmfnl5lrA9kn21lghPXAHNldgsE49uPNFP8=[/tex]可得[tex=5.643x2.714]P+MMr+pgjG457zGlmXvkwHz2tWrYgOQuEKfN4EpdnduopRHKvDp8EhPgQRmMaJd6LfW6gWuOEFCV8Dun/5pJr2KOZxGlrQaZh0GGwMCXJTo=[/tex]

举一反三

内容

0
6个顶点11条边的所有非同构的连通的简单非平面图有[tex=2.143x2.429]iP+B62/T05A6ZTM0eeaWiQ==[/tex]个，其中有[tex=2.143x2.429]ndZSw3zT0QTOVLVdoUto1Q==[/tex]个含子图[tex=1.786x1.286]J+vVZa2YaMpc6mJBbqVvWw==[/tex]，有[tex=2.143x2.429]lmhx48evnQMhi03NovPXig==[/tex]个含与[tex=1.214x1.214]kFXZ1uR8GjycbJx+Ts2kyQ==[/tex]同胚的子图。供选择的答案[tex=3.071x1.214]3KinXFh3SXhZ7nIe1y9KEV6aadxhhJWeEy6Dij1iObdMUZkY6ZA5J2dVVjPSuhEf[/tex]：(1) 1 ;(2) 2 ;(3) 3 ; (4) 4 ;(5) 5 ;(6) 6 ; (7) 7 ; (8) 8 。
1
某人对商品x的需求函数是[tex=5.214x1.214]0m6eBd5eyK0NjuxeKfwtIw==[/tex]，[tex=4.214x1.214]I717YsPbj8Rnym1v2XQ+sFNkUl7mqUsGwbjwjXmy2xc=[/tex]，这里[tex=0.571x1.0]Za328cIB4SeR7rrzY+MM5Q==[/tex]是[tex=0.571x0.786]ZSLOI4fiO1oAbVC5M8IVkA==[/tex]的价格。如果商品x 的价格是0.5元，那么他对商品x的需求价格弹性是未知类型：{'options': ['-10', '- 1/5', '-1/10', '\xa0- 1/3'], 'type': 102}
2
对于以下两种情形:(1)x为自变量,(2)x为中间变量,求函数[tex=2.214x1.214]sy9gaFRMGlrH59gm9bWSDg==[/tex]的[tex=1.5x1.429]5W5tOYbJ+LlsRP2dMsi4byxwtjvvL/3u7NEzPV5PWp0=[/tex]
3
判断下列命题是否为真：（1）[tex=3.643x1.357]/5abqJjwKZ1qr+6hsVFF5EBvfq3ggOFNlHMClz0h9nk=[/tex]（2）[tex=2.929x1.357]rGJpyjIjJpbcoBTWxP0Jiw==[/tex]（3）[tex=4.5x1.357]2wycHMoqU83MyEp17iBils58bR7YLuCTI2G9NVAdlfY=[/tex]（4）[tex=5.214x1.357]CTz2gu+IIm1GgNmYMGaduCRtA41wnW4WqwRWwEhq6aA=[/tex]（5）[tex=4.857x1.357]1DcE2BMMOaZhTuxR/mjgsboXxfg5ET59Dp4I/jjEDuw=[/tex]（6）[tex=4.643x1.357]BSryrsQYOvTP2hTWRu6t4nAuJwlSs4L9jaq70EpB+Us=[/tex]（7）若[tex=6.0x1.357]y0IZLUnBO88nR8WBZYvd7QXv5S1OMINV5cQNzPyiyAc=[/tex]，则[tex=3.429x1.357]1brfPwTkVVIX4GfoMIUskA==[/tex]（8）若[tex=7.643x1.357]MhLfJXZnhbXiB0x3oNtFzThV4Y1mJxe1VYr7PkJE/T6hmTD3WWp+UxbNwvUQ6DHk[/tex]，则[tex=4.143x1.357]LZUA94ISo1po5HWsOVeBCjo0rMvj7uw3bGw5HiZenrI=[/tex]
4
有容量分别为[tex=3.286x1.286]pCZ+fPe3X5XtlIcXCf6RGw==[/tex]和[tex=3.286x1.286]JjWMjbwalVPPThZBywJsLQ==[/tex]的独立随机样本得到下述观测结果，（X、 Y为观测值， f为频数）X 12.3 12.5 12.8 13.0 13.5 Y 12.2 12.3 13.0f 1 2 4 2 1 f 6 8 2现已知变量X、Y的总体均呈正态分布。请问在0.05的显著性水平下，可否认为这两个总体属同一分布？[tex=24.786x1.286]OVWwFMgiPzBDnRSqBYypUv4puOxaqZVbzeGoYhEt/ZwiQxP0kGgAAWuaJInyBhH09xLkSWqB6n3qd1WXaKpfvwUNfmmVSMJTzi4wz4IT6q4=[/tex][tex=8.429x1.286]AcUD6cTXhAghaQMem3GRbFMfFVpZHcyA3tP0z+S7RAk=[/tex] [tex=13.357x1.357]ZPe8nXNlBeMmW2cEA+D6DaqP/loFbcVH2QukDH1SMofLM6E74nDyl0WrH8imm/Ai[/tex]