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The process of solving the eleventh problem of Jiangsu volume mathematics in the college entrance examination in 2003
Known AP=BP= 1, BP 1=PB? *? tanβ？ =? tanβ？

p 1C = 1—BP 1 = 1—tanβ；

P2C=P 1C/？ tanβ= 1/？ tanβ— 1；

P2D=2—P2C=3— 1/？ tanβ

P3D=？ tanβ？ *? P2D=3？ tanβ— 1；

P3A= 1—P3D=2—3？ tanβ

P4A=P3A/？ tanβ=2/？ tanβ—3；

Because P4 is between (1, 2), so

1 & lt； 2/? tanβ—3 & lt； 2

The range of tanβ is (2/5, 1/2).

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